MCQ 11 Mark
माना कि $A$ एक व्युत्क्रमणीय आव्यूह है जिसका कम $2 \times 2$ हैं, तो ladj $A l=\ldots \ldots$
- A
$2| A |$
- ✓
$| A |$
- C
$| A |^2$
- D
$| A |^3$
AnswerCorrect option: B. $| A |$
View full question & answer→MCQ 21 Mark
यदि $A$ एक वर्ग आव्यूह हो तो $A+A^{\prime}$ एक $\ldots . .$. होगा ।
View full question & answer→MCQ 31 Mark
अगर $A=\left[\begin{array}{ll}1 & 9 \\ 0 & 1\end{array}\right]$ तब $A^4$ बराबर है :
- A
$\left[\begin{array}{ll}1 & a^4 \\ 0 & 1\end{array}\right]$
- ✓
$\left[\begin{array}{ll}1 & 36 \\ 0 & 1\end{array}\right]$
- C
$\left[\begin{array}{ll}4 & a^4 \\ 0 & 4\end{array}\right]$
- D
$\left[\begin{array}{cc}1 & 4 a \\ 0 & 1\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{ll}1 & 36 \\ 0 & 1\end{array}\right]$
View full question & answer→MCQ 41 Mark
माना $A=\left[\begin{array}{ll}1 & 2 \\ 0 & 1\end{array}\right]$ तब $A^n=$ ?
- ✓
$\left[\begin{array}{cc}1 & 2 n \\ 0 & 1\end{array}\right]$
- B
$\left[\begin{array}{ll}2 & n \\ 0 & 1\end{array}\right]$
- C
$\left[\begin{array}{cc}1 & 2 n \\ 0 & 1\end{array}\right]$
- D
$\left[\begin{array}{ll}1 & n \\ 0 & 2\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{cc}1 & 2 n \\ 0 & 1\end{array}\right]$
View full question & answer→MCQ 51 Mark
अगर $\left[\begin{array}{cc}x+y & 3 \\ 4 & x-y\end{array}\right]=\left[\begin{array}{cc}1 & 3 \\ 4 & -3\end{array}\right]$ तब $(x, y)$ है :
- ✓
$(-1,2)$
- B
$(-1,-2)$
- C
$(-2,-1)$
- D
$(1,-2)$
AnswerCorrect option: A. $(-1,2)$
View full question & answer→MCQ 61 Mark
यदि $A=\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right]$ तब $A d j A$ है :
- A
$\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \cos \theta & \cos \theta\end{array}\right]$
- B
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
- ✓
$\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
- D
$\left[\begin{array}{cc}-1 & 0 \\ 0 & -1\end{array}\right] \quad$
AnswerCorrect option: C. $\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
View full question & answer→MCQ 71 Mark
यदि $A=\left[\begin{array}{cc}\cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha\end{array}\right]$ तो $A+A^1=I$ यदि $\alpha$ का मान है :
- A
$\frac{\pi}{6}$
- B
$\pi$
- ✓
$\frac{\pi}{3}$
- D
$\frac{3 \pi}{3}$
AnswerCorrect option: C. $\frac{\pi}{3}$
View full question & answer→MCQ 81 Mark
यदि $A$ एक उत्कमणीय आव्यूह है जिसका क्रम $n \times n$ है तो
- A
$n|A|$
- ✓
$|A|^{n-1}$
- C
$|A|$
- D
$|A|^n$
AnswerCorrect option: B. $|A|^{n-1}$
View full question & answer→MCQ 91 Mark
यदि $A=\left[\begin{array}{ll}3 & -2 \\ 4 & -2\end{array}\right]$ तब $K$ का मान यदि :
View full question & answer→MCQ 101 Mark
यदि $A=\left[\begin{array}{ll}3 & -2 \\ 4 & -2\end{array}\right]$ तब $K$ का मान यदि :
View full question & answer→MCQ 111 Mark
आव्यूह $\left[\begin{array}{ccc}1 & 0 & -5 \\ -4 & 5 & 7\end{array}\right]$ है :
- A
सममित आव्यूह (a symmetric matrix)
- B
असममित आव्यूह (a skew-symmetric matrix)
- C
विकर्ण आव्यूह (A diagonal matrix)
- ✓
View full question & answer→MCQ 121 Mark
आव्यूह $A$ समीकरण $\left[\begin{array}{cc}0 & 2 \\ -1 & 1\end{array}\right] A=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$ आता है तब आव्यूह $A$ है :
- A
$\left[\begin{array}{cc}2 & 0 \\ 1 & -1\end{array}\right]$
- B
$\left[\begin{array}{cc}1 & -2 \\ 1 & 0\end{array}\right]$
- ✓
$\left[\begin{array}{cc}1 / 2 & -1 \\ 1 / 2 & 0\end{array}\right]$
- D
$\left[\begin{array}{cc}1 & 2 \\ -1 & 0\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}1 / 2 & -1 \\ 1 / 2 & 0\end{array}\right]$
View full question & answer→MCQ 131 Mark
एक आव्यूह 18 अवयव रखता है तब आव्यूह का धनात्मक कोटि है :
MCQ 141 Mark
यदि $A^2-A+I=0$ हो तंब $A$ का व्युत्क्रम है :
View full question & answer→MCQ 151 Mark
यदि $A=\left[\begin{array}{ll}\alpha & 2 \\ 2 & \alpha\end{array}\right]$ और $\left|A^3\right|=125$ तब $\alpha=$
- ✓
$\pm 3$
- B
$\pm 2$
- C
$\pm 5$
- D
$0$
AnswerCorrect option: A. $\pm 3$
View full question & answer→MCQ 161 Mark
यदि $A=\left[\begin{array}{ll}\alpha & 0 \\ 1 & 1\end{array}\right]$ और $B=\left[\begin{array}{ll}1 & 0 \\ 5 & 1\end{array}\right]$ तब $A^2=B$ सत्य है :
- A
$\alpha=1$ के लिए (for $\alpha=1$ )
- ✓
$\alpha$ की कोई कीमत नहीं (for no value of $\alpha$ )
- C
$\alpha=4$ के लिए (for $\alpha=4$ )
- D
$\alpha=-4$ के लिए (for $\alpha=-4$ )
AnswerCorrect option: B. $\alpha$ की कोई कीमत नहीं (for no value of $\alpha$ )
View full question & answer→MCQ 171 Mark
यदि $A=\left[\begin{array}{ll}a & b \\ b & a\end{array}\right]$ और $A^2=\left[\begin{array}{ll}\alpha & \beta \\ \beta & \alpha\end{array}\right]$ तब
- A
$\alpha=a^2+b^2, \beta=a b$
- ✓
$\alpha=a^2+b^2, \beta=2 a b$
- C
$\alpha=a^2+b^2, \beta=a^2-b^2$
- D
$\alpha=2 a b, \beta=a^2+b^2$
AnswerCorrect option: B. $\alpha=a^2+b^2, \beta=2 a b$
View full question & answer→MCQ 181 Mark
यदि $A=\left[\begin{array}{ll}1 & 2 \\ 4 & 2\end{array}\right]$ तो :
AnswerCorrect option: B. $4|A|$
View full question & answer→MCQ 191 Mark
$A=\left[\begin{array}{cc}1 & -1 \\ 2 & 3\end{array}\right]$ तब :
AnswerCorrect option: C. $|A|=5$
$|A|=5$
View full question & answer→MCQ 201 Mark
एक मैट्रिक्स $A=\left[a_{2 j}\right]_{n \times n}$ सममित है यदि :
- A
$a_{i j}=0$
- B
$a_{i j}=-a_{j i}$
- ✓
$a_{i j}=a_{j i}$
- D
${a_ij}=1$
AnswerCorrect option: C. $a_{i j}=a_{j i}$
View full question & answer→MCQ 211 Mark
यदि $A=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right]$ तो $A^2$ बराबर होगा :
- A
$\left[\begin{array}{ll}a^2 & b^2 \\ c^2 & d^2\end{array}\right]$
- ✓
$\left[\begin{array}{ll}a^3 & b^3 \\ c^3 & d^3\end{array}\right]$
- C
$\left[\begin{array}{ll}b^2+b c & a b+b d \\ a c+d c & d c+d^2\end{array}\right]$
- D
AnswerCorrect option: B. $\left[\begin{array}{ll}a^3 & b^3 \\ c^3 & d^3\end{array}\right]$
View full question & answer→MCQ 221 Mark
यदि $ \begin{bmatrix} x+y & y \\ 2 x & x-y\end{bmatrix} \begin{bmatrix} 2 \\ -1\end{bmatrix} = \begin{bmatrix} 3 \\ 2\end{bmatrix} $ तो $x y$ बराबर होगा
View full question & answer→MCQ 231 Mark
यदि $A=\left[\begin{array}{lll}1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1\end{array}\right]$ तब $A^2=$ ?
View full question & answer→MCQ 241 Mark
$\left[\begin{array}{cc}\cos x & -\sin x \\ \sin x & \cos x\end{array}\right]$ का मान होगा :
- A
$\cos ^2 x-\sin ^2 x$
- B
$0$
- ✓
- D
View full question & answer→MCQ 251 Mark
यदि $A =\left[\begin{array}{lll}1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1\end{array}\right]$ तो $A ^2$ है :
View full question & answer→MCQ 261 Mark
किसी एकांक समूह I के लिए :
- ✓
$I ^2=1$
- B
$|I|=2$
- C
$|I|=0$
- D
$|I|=5$.
AnswerCorrect option: A. $I ^2=1$
View full question & answer→MCQ 271 Mark
यदि $A =\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 1 & 0 \\ a & b & -1\end{array}\right]$ तो $A ^2=$
View full question & answer→MCQ 281 Mark
यदि $A =\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right], B =\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$ हो, तो $AB =$
- A
$\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]$
- B
$\left[\begin{array}{ll}1 & 1 \\ 1 & 0\end{array}\right]$
- ✓
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
- D
AnswerCorrect option: C. $\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
View full question & answer→MCQ 291 Mark
यदि $A =\left[\begin{array}{ll}1 & 2 \\ 2 & 1\end{array}\right]$ तो सह-खंडन $A =$
- ✓
$\left[\begin{array}{cc}1 & -2 \\ -2 & 1\end{array}\right]$
- B
$\left[\begin{array}{ll}2 & 1 \\ 1 & 1\end{array}\right]$
- C
$\left[\begin{array}{cc}1 & -2 \\ -2 & -1\end{array}\right]$
- D
$\left[\begin{array}{cc}1 & -2 \\ 2 & 1\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{cc}1 & -2 \\ -2 & 1\end{array}\right]$
View full question & answer→MCQ 301 Mark
माना कि $A$ एक व्युत्क्मणीय आव्यूह है जिसका क्रम $2 \times 2$ है, तो $\left| A ^{-1}\right|=$
- A
$| A |$
- ✓
$\frac{1}{|A|}$
- C
$0$
- D
AnswerCorrect option: B. $\frac{1}{|A|}$
View full question & answer→MCQ 311 Mark
$A =\left[\begin{array}{ll}2 & 3 \\ 5 & k\end{array}\right]$ का व्युत्क्रम प्राप्त नहीं होगा यदि $k$ का मान है :
- A
- B
$\frac{3}{2}$
- C
$\frac{5}{2}$
- ✓
$\frac{15}{2}$
AnswerCorrect option: D. $\frac{15}{2}$
View full question & answer→MCQ 321 Mark
यदि $A =\left[\begin{array}{ll} i & 0 \\ 0 & i \end{array}\right]$ तो $A ^2=$
- A
$\left[\begin{array}{cc}1 & 0 \\ 0 & -1\end{array}\right]$
- ✓
$\left[\begin{array}{cc}-1 & 0 \\ 0 & -1\end{array}\right]$
- C
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
- D
$\left[\begin{array}{cc}-1 & 0 \\ 0 & 1\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{cc}-1 & 0 \\ 0 & -1\end{array}\right]$
View full question & answer→MCQ 331 Mark
यदि $\left|\begin{array}{ll}x & 8 \\ 3 & 3\end{array}\right|=0, x$ का मान है :
View full question & answer→MCQ 341 Mark
एक मैट्रिक्स $A =\left[ a _{ o }\right]_{ m \times n }$ सममित है यदि :
- A
$a _{ ij }=0$
- B
$a_{i j}=-a_{j i}$
- ✓
$a_{i j}=a_{j i}$
- D
$a_{i j}=1$
AnswerCorrect option: C. $a_{i j}=a_{j i}$
View full question & answer→MCQ 351 Mark
यदि $\left|\begin{array}{cc}1-x & 2 \\ 18 & 6\end{array}\right|=\left|\begin{array}{cc}6 & 2 \\ 18 & 6\end{array}\right|$ तो $x=$
View full question & answer→MCQ 361 Mark
यदि $A =\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right]$ तो सहखंडन $A$ है :
- A
$\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \cos \theta & \sin \theta\end{array}\right]$
- B
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
- ✓
$\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
- D
$\left[\begin{array}{cc}-1 & 0 \\ 0 & -1\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
View full question & answer→MCQ 371 Mark
यदि $A$ और $B$ वर्ग आव्यूह है, तो $( AB )^{\prime}=$
AnswerCorrect option: A. $B ^{\prime} A ^{\prime}$
View full question & answer→MCQ 381 Mark
$A=\left[a_{i j}\right]_{m \times n}$ एक वर्ग आव्यूह है यदि :
View full question & answer→MCQ 391 Mark
$\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right]$ का व्युत्क्म है :
- A
$\left[\begin{array}{ll}-\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
- ✓
$\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
- C
$\left[\begin{array}{ll}\cos \theta & -\sin \theta \\ \sin \theta & -\cos \theta\end{array}\right]$
- D
AnswerCorrect option: B. $\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
View full question & answer→MCQ 401 Mark
यदि $A =\left[\begin{array}{ll}1 & 2 \\ 4 & 2\end{array}\right]$ तो $|2 A |=$
- A
$2| A |$
- ✓
$4 \mid Al$
- C
$8| A |$
- D
AnswerCorrect option: B. $4 \mid Al$
View full question & answer→MCQ 411 Mark
यदि $A =\left[\begin{array}{ll}\alpha & 0 \\ 1 & 1\end{array}\right] B =\left[\begin{array}{ll}1 & 0 \\ 5 & 1\end{array}\right]$, जह्ँ $A ^2= B$, तो $\alpha$ का मान है :
AnswerCorrect option: D. $\alpha$ का वास्तविक मान नहीं
View full question & answer→MCQ 421 Mark
$A=\left[\begin{array}{cc}3 & 6 \\ 5 & -4\end{array}\right], B=\left[\begin{array}{ll}7 & 8 \\ 5 & 6\end{array}\right] \Rightarrow 2 A+3 B=$ आव्यूह
- A
$\left[\begin{array}{ll}27 & 24 \\ 22 & 10\end{array}\right]$
- B
$\left[\begin{array}{ll}27 & 36 \\ 35 & 10\end{array}\right]$
- C
$\left[\begin{array}{ll}27 & 36 \\ 25 & 15\end{array}\right]$
- ✓
$\left[\begin{array}{ll}27 & 36 \\ 25 & 10\end{array}\right]$
AnswerCorrect option: D. $\left[\begin{array}{ll}27 & 36 \\ 25 & 10\end{array}\right]$
View full question & answer→MCQ 431 Mark
$A =\left[\begin{array}{cc}1 & -1 \\ -1 & 1\end{array}\right] \Rightarrow A^2=$
View full question & answer→MCQ 441 Mark
$A =\left[\begin{array}{ccc}9 & 10 & 11 \\ 12 & 13 & 14\end{array}\right], B =\left[\begin{array}{ccc}11 & 10 & 9 \\ 8 & 7 & 6\end{array}\right] \Rightarrow 2 A +2 B =$
- A
$\left[\begin{array}{lll}20 & 20 & 20 \\ 20 & 20 & 20\end{array}\right]$
- ✓
$\left[\begin{array}{lll}40 & 40 & 40 \\ 40 & 40 & 40\end{array}\right]$
- C
$\left[\begin{array}{rrr}20 & 20 & 20 \\ 40 & 40 & 40\end{array}\right]$
- D
$\left[\begin{array}{lll}40 & 40 & 40 \\ 20 & 20 & 20\end{array}\right] \quad$
AnswerCorrect option: B. $\left[\begin{array}{lll}40 & 40 & 40 \\ 40 & 40 & 40\end{array}\right]$
View full question & answer→MCQ 451 Mark
यदि $A =\left[\begin{array}{ccc}9 & 10 & 11 \\ 12 & 13 & 14\end{array}\right]$ और $B =\left[\begin{array}{ccc}11 & 10 & 9 \\ 8 & 7 & 6\end{array}\right]$ तो $A + B =\ldots .$.
- ✓
$\left[\begin{array}{lll}20 & 20 & 20 \\ 20 & 20 & 20\end{array}\right]$
- B
$\left[\begin{array}{lll}10 & 10 & 10 \\ 10 & 10 & 10\end{array}\right]$
- C
$\left[\begin{array}{rrr}10 & 5 & 10 \\ 5 & 10 & 10\end{array}\right]$
- D
$\left[\begin{array}{lll}25 & 10 & 15 \\ 15 & 10 & 25\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{lll}20 & 20 & 20 \\ 20 & 20 & 20\end{array}\right]$
View full question & answer→MCQ 461 Mark
यदि $A$ एक $3 \times 3$ आव्यूह हो ताकि $A^2=A$, तो $\left(A+I_3\right)^3-7 A$ किसके बराबर होगा ?
- ✓
$I _3$
- B
$A$
- C
$3 A$
- D
$I _3- A$
AnswerCorrect option: A. $I _3$
View full question & answer→MCQ 471 Mark
$A=\left[a_{i j}\right]_{m \times n}$ एक वर्ग आव्यूह है यदि :
View full question & answer→MCQ 481 Mark
यदि $A$ तथा $B$ समान कोटि के सममित आव्यूह हैं तो $A B-B A$ एक :
View full question & answer→MCQ 491 Mark
$3 \times 3$ कोटि के ऐसे आव्यूहों की कुल कितनी संख्या होगी जिनकी प्रत्येक प्रविष्टि 0 या 1 है :
View full question & answer→MCQ 501 Mark
यदि $\theta+\phi=90^{\circ}$, तो $\left|\begin{array}{cc}\cos \theta & \sin \theta \\ \sin \phi & \cos \phi\end{array}\right|=$
View full question & answer→MCQ 511 Mark
यदि $A=\left[\begin{array}{cc}1 & -1 \\ -1 & 1\end{array}\right]$ तो $A^3=$
View full question & answer→MCQ 521 Mark
दो आव्यूहों $A$ और $B$ गुणनफल के लिए शर्त है कि :
- A
$A$ के पंक्तियों की संख्या $=B$ के स्तंभों की संख्या
- B
$A$ के पंक्तियों की संख्या $=B$ के पंक्तियों की संख्या
- ✓
$A$ के स्तम्भों की संख्या $=B$ के पंक्तियों को संख्या
- D
$A$ के स्तभों की संख्या $=B$ के स्तम्भों की संख्या
AnswerCorrect option: C. $A$ के स्तम्भों की संख्या $=B$ के पंक्तियों को संख्या
View full question & answer→MCQ 531 Mark
यदि $A$ एक वर्ग आव्यूह हो तो $A-A^{\prime}$, एक होगा ।
View full question & answer→MCQ 541 Mark
यदि आव्यूह $A$ का व्युत्क्रम आव्यूह $B$ हो, तो $A B=B A=$
View full question & answer→MCQ 551 Mark
$x=\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right] \Rightarrow x^2=$
- A
$\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$
- B
$\left[\begin{array}{ll}0 & 1 \\ 0 & 1\end{array}\right]$
- C
$\left[\begin{array}{ll}0 & 8 \\ 8 & 0\end{array}\right]$
- ✓
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
AnswerCorrect option: D. $\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
View full question & answer→MCQ 561 Mark
यदि आव्यूह $A=\left[a_{i j}\right]_{2 \times 2}$, जहाँ $a_{i j}=1$ यदि $i \pm$ $j=0$ यदि $i=j$ तब $A^2$ बराबर है
View full question & answer→MCQ 571 Mark
यदि $\left[\begin{array}{cc}2 x+y & 4 x \\ 5 x-7 & 4 x\end{array}\right]=\left[\begin{array}{cc}7 & 7 y-13 \\ y & x+6\end{array}\right]$, हो तो x और y के मान होंगें।
- A
$x=3, y=1$
- ✓
$x=2, y=3$
- C
$x=2, y=4$
- D
$x=3, y=3$
AnswerCorrect option: B. $x=2, y=3$
View full question & answer→MCQ 581 Mark
यदि A और B क्रमश: $3 \times m$ और $3 \times n$ कोटी के दो आव्यूह हो तथा $m=n$ हो तो आव्यूह $(5 A-2 B)$ की कोटि होगी?
- A
$m \times 3$
- B
$3 \times 3$
- C
$m \times n$
- ✓
$3 \times n$
AnswerCorrect option: D. $3 \times n$
View full question & answer→MCQ 591 Mark
यदि A एक $m \times n$ कोटि का आव्यूह है और B इस प्रकार का आव्यूह है कि $A B^{\prime}$ और $B^{\prime} A$ दोनों ही परिभाषित हो तो आव्यूह B की कोटी होगी-
- A
$m \times m$
- B
$n \times n$
- C
$n \times m$
- ✓
$m \times n$
AnswerCorrect option: D. $m \times n$
View full question & answer→MCQ 601 Mark
यदि A इस प्रकार की आव्यू है कि $A^2=l$, तब $(A-I)^3+(A+I)^3-7 A$ बराबर होगा
View full question & answer→MCQ 611 Mark
यदि $A=\frac{1}{\pi}\left[\begin{array}{cc}\sin ^{-1}(x \pi) & \tan ^{-1}\left(\frac{x}{\pi}\right) \\ \sin ^{-1}\left(\frac{x}{\pi}\right) & \cot ^{-1}(x \pi)\end{array}\right]$, $B=\frac{1}{\pi}\left[\begin{array}{cc}-\cos ^{-1}(x \pi) & \tan ^{-1}\left(\frac{x}{\pi}\right) \\ \sin ^{-1}\left(\frac{x}{\pi}\right) & -\tan ^{-1}(x \pi)\end{array}\right]$, हो तो A - B बराबर है
- A
$I$
- B
$o$
- C
$2 I$
- ✓
$\frac{1}{2} l$
AnswerCorrect option: D. $\frac{1}{2} l$
View full question & answer→MCQ 621 Mark
कोटि $3 \times 3$ के सभी संभव आव्यूहों की संख्या जिनकी प्रविष्टि 2 या 0 हो, होगी
View full question & answer→MCQ 631 Mark
किन्हीं दो A और B आव्यूहों के लिए कौन सा सदैव सत्य है
- A
$A B=B A$
- B
$A B \neq B A$
- C
$A B=O$
- ✓
View full question & answer→MCQ 641 Mark
आव्यूह $P=\left[\begin{array}{lll}0 & 0 & 4 \\ 0 & 4 & 0 \\ 4 & 0 & 0\end{array}\right]$ है
View full question & answer→MCQ 651 Mark
आव्यूह $\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 4\end{array}\right]$ एक
View full question & answer→MCQ 661 Mark
आव्यूह $\left[\begin{array}{ccc}0 & -5 & 8 \\ 5 & 0 & 12 \\ -8 & -12 & 0\end{array}\right]$
View full question & answer→MCQ 671 Mark
यदि A एक $3 \times 3$ क्रम का व्यूत्क्रमणीय आव्यूह हो, तब $|\operatorname{adj} A|$ बराबर है-
- A
$|A|$
- ✓
$|A|^2$
- C
$|A|^3$
- D
$3|A|$
AnswerCorrect option: B. $|A|^2$
View full question & answer→MCQ 681 Mark
यदि A तथा B समान कोटि के सममित आव्यूह हैं तो $A B-B A$ एक
View full question & answer→MCQ 691 Mark
आव्यूह A तथा B एक दूसरे के व्युत्क्रम होंगे केवल यदि
- A
$A B=B A$
- B
$A B=B A=0$
- C
$A B=0, B A=I$
- ✓
$A B=B A=I$
AnswerCorrect option: D. $A B=B A=I$
View full question & answer→MCQ 701 Mark
यदि $A=\left[\begin{array}{cc}\cos \alpha & -\sin \alpha \\ \sin \alpha & \cos \alpha\end{array}\right]$ तो $A+A^{\prime}=I$, यदि $\alpha$ का मान है
- A
$\frac{\pi}{6}$
- ✓
$\frac{\pi}{3}$
- C
$\pi$
- D
$\frac{3 \pi}{2}$
AnswerCorrect option: B. $\frac{\pi}{3}$
View full question & answer→MCQ 711 Mark
$3 \times 3$ कोटि के ऐसे आव्यूहों की कुल कितनी संख्या होगी जिनकी प्रत्येक प्रविष्टि 0 या 1 है?
View full question & answer→MCQ 721 Mark
$A=\left[a_{i j}\right]_{m \times n}$ एक वर्ग आव्यूह है यदि
View full question & answer→MCQ 731 Mark
यदि एक आव्यूह A सममित तथा विषम सममित दोनों हैं तो
MCQ 741 Mark
यदि A एक वर्ग आब्यूह इस प्रकार है कि $A^2=A$, तो $(I+A)^3-7 A$ बराबर है
View full question & answer→MCQ 751 Mark
यदि $A=\left[\begin{array}{cc}\alpha & \beta \\ \gamma & -\alpha\end{array}\right]$, इस प्रकार है कि $A^2=1$,तो
- A
$1+\alpha^2+\beta y=0$
- B
$1-\alpha^2+\beta \gamma=0$
- ✓
$1-\alpha^2-\beta \gamma=0$
- D
$1+\alpha^2-\beta \gamma=0$
AnswerCorrect option: C. $1-\alpha^2-\beta \gamma=0$
View full question & answer→MCQ 761 Mark
मान लिया कि X, Y, Z, W तथा P क्रमशः $n, 3 \times k, 2 \times p, n \times 3$ तथा $p \times k$ कोटियों के आव्यूह हैं $P Y+W Y$ के परिभाषित होने के लिए n, k तथा p पर क्या प्रतिबंध होगा ?
AnswerCorrect option: A. $k=3, p=n$
View full question & answer→MCQ 771 Mark
मान लिया कि X, Y, Z, W तथा P क्रमशः $2 \times n, 3 \times k, 2 \times p, n \times 3$ तथा $p \times k$ कोटियों के आव्यूह है। यदि $n=p$ तो आव्यूह $7 X-5 Z$ की कोटि है
- A
$p \times 2$
- ✓
$2 \times n$
- C
$n \times 3$
- D
$p \times n$
AnswerCorrect option: B. $2 \times n$
View full question & answer→MCQ 781 Mark
x तथा के प्रदत्त किन मानों के लिए आव्यूहों के निम्नलिखित युग्म समान है?
$\left[\begin{array}{cc}3 x+7 & 5 \\ y+1 & 2-3 x\end{array}\right] \cdot\left[\begin{array}{cc}0 & y-2 \\ 8 & 4\end{array}\right]$
View full question & answer→MCQ 791 Mark
आव्यूह $\left[\begin{array}{ll}2 & 3 \\ 5 & 4\end{array}\right]$ का सहखंडन आव्यूह =
- A
$\left[\begin{array}{cc}4 & -5 \\ -3 & 2\end{array}\right]$
- ✓
$\left[\begin{array}{cc}4 & -3 \\ -5 & 2\end{array}\right]$
- C
$\left[\begin{array}{ll}4 & 5 \\ 3 & 2\end{array}\right]$
- D
$\left[\begin{array}{ll}4 & 3 \\ 5 & 2\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{cc}4 & -3 \\ -5 & 2\end{array}\right]$
View full question & answer→MCQ 801 Mark
$\left[\begin{array}{ll}6 & 5\end{array}\right]_{1 \times 2}\left[\begin{array}{c}-1 \\ 1\end{array}\right]_{2 \times 1}=$
AnswerCorrect option: C. $[-1]$
View full question & answer→MCQ 811 Mark
$\left[\begin{array}{ll}3 & -2\end{array}\right]_{1 \times 2}\left[\begin{array}{r}1 \\ -1\end{array}\right]_{2 \times 1}=$
View full question & answer→MCQ 821 Mark
$\left[\begin{array}{ll}2 & 3 \\ 5 & 7\end{array}\right]_{1 \times 2}\left[\begin{array}{l}2 \\ 5\end{array}\right]_{2 \times 1}=$
- A
$\left[\begin{array}{cc}4 & 6 \\ 25 & 35\end{array}\right]$
- B
$\left[\begin{array}{cc}4 & 15 \\ 10 & 35\end{array}\right]$
- C
$\left[\begin{array}{ll}19 & 45\end{array}\right]$
- ✓
$\left[\begin{array}{l}19 \\ 45\end{array}\right]$
AnswerCorrect option: D. $\left[\begin{array}{l}19 \\ 45\end{array}\right]$
View full question & answer→MCQ 831 Mark
$\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]\left[\begin{array}{ll}4 & 0 \\ 0 & 4\end{array}\right]=$
- A
$\left[\begin{array}{cc}4 & 8 \\ 0 & 16\end{array}\right]$
- B
$\left[\begin{array}{ll}5 & 2 \\ 3 & 8\end{array}\right]$
- ✓
$\left[\begin{array}{cc}4 & 8 \\ 12 & 16\end{array}\right]$
- D
$\left[\begin{array}{ll}4 & 12 \\ 8 & 16\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}4 & 8 \\ 12 & 16\end{array}\right]$
View full question & answer→MCQ 841 Mark
$\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]=$
- A
$\left[\begin{array}{ll}1 & 0 \\ 0 & 4\end{array}\right]$
- ✓
$\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$
- C
$\left[\begin{array}{ll}1 & 2 \\ 0 & 4\end{array}\right]$
- D
$\left[\begin{array}{ll}1 & 2 \\ 3 & 0\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$
View full question & answer→MCQ 851 Mark
$\left[\begin{array}{cc}5 & -1 \\ 6 & 7\end{array}\right]\left[\begin{array}{ll}2 & 1 \\ 3 & 4\end{array}\right]=$
- A
$\left[\begin{array}{cc}7 & 11 \\ 33 & 34\end{array}\right]$
- ✓
$\left[\begin{array}{cc}7 & 1 \\ 33 & 34\end{array}\right]$
- C
$\left[\begin{array}{cc}7 & 1 \\ 34 & 33\end{array}\right]$
- D
$\left[\begin{array}{cc}16 & 5 \\ 39 & 25\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{cc}7 & 1 \\ 33 & 34\end{array}\right]$
View full question & answer→MCQ 861 Mark
$A=\left[\begin{array}{lll}1 & 2 & 3\end{array}\right] \Rightarrow A^{\prime}=$
- A
$\left[\begin{array}{lll}1 & 2 & 3\end{array}\right]$
- B
$\left[\begin{array}{l}3 \\ 2 \\ 1\end{array}\right]$
- C
$\left[\begin{array}{lll}3 & 2 & 1\end{array}\right]$
- ✓
$\left[\begin{array}{l}1 \\ 2 \\ 3\end{array}\right]$
AnswerCorrect option: D. $\left[\begin{array}{l}1 \\ 2 \\ 3\end{array}\right]$
View full question & answer→MCQ 871 Mark
$A=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right] \Rightarrow A^{100}=$
View full question & answer→MCQ 881 Mark
$[4]_{1 \times 1}[2-2]_{1 \times 2}=$
- ✓
$\left[\begin{array}{ll}8 & 8\end{array}\right]$
- B
$[0]$
- C
$\left[\begin{array}{r}8 \\ -8\end{array}\right]$
- D
$\left[\begin{array}{ll}6 & 2\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{ll}8 & 8\end{array}\right]$
View full question & answer→MCQ 891 Mark
यदि $A=\left[\begin{array}{lll}2 & \sqrt{2} & 0 \\ 3 & -2 & \frac{2}{5}\end{array}\right]$ तो $A^{\prime}=$
- A
$\left[\begin{array}{cc}2 & -3 \\ \sqrt{2} & 2 \\ 0 & 2 / 5\end{array}\right]$
- ✓
$\left[\begin{array}{cc}2 & 3 \\ \sqrt{2} & -2 \\ 0 & 2 / 5\end{array}\right]$
- C
$\left[\begin{array}{cc}3 & 2 \\ -2 & \sqrt{2} \\ -2 / 5 & 0\end{array}\right]$
- D
$\left[\begin{array}{ccc}3 & -2 & 2 / 5 \\ 2 & \sqrt{2} & 0\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{cc}2 & 3 \\ \sqrt{2} & -2 \\ 0 & 2 / 5\end{array}\right]$
View full question & answer→MCQ 901 Mark
यदि $A=\left[\begin{array}{cc}3 & 6 \\ -5 & 4\end{array}\right]$ और $B=\left[\begin{array}{ll}7 & 8 \\ 5 & 6\end{array}\right]$ तो $6 A-$$5 B=$
- A
$\left[\begin{array}{cc}17 & 4 \\ 5 & 54\end{array}\right]$
- B
$\left[\begin{array}{rr}17 & -4 \\ 5 & 54\end{array}\right]$
- ✓
$\left[\begin{array}{ll}-17 & -4 \\ -55 & -6\end{array}\right]$
- D
$\left[\begin{array}{cc}17 & -4 \\ -55 & -54\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{ll}-17 & -4 \\ -55 & -6\end{array}\right]$
View full question & answer→MCQ 911 Mark
यदि $A=\left[\begin{array}{cc}3 & -5 \\ -1 & 2\end{array}\right]$ तो adjoint $A=$
- ✓
$\left[\begin{array}{ll}2 & 5 \\ 1 & 3\end{array}\right]$
- B
$\left[\begin{array}{ll}2 & 3 \\ 1 & 5\end{array}\right]$
- C
$\left[\begin{array}{ll}1 & 3 \\ 2 & 5\end{array}\right]$
- D
$\left[\begin{array}{ll}2 & 1 \\ 5 & 3\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{ll}2 & 5 \\ 1 & 3\end{array}\right]$
View full question & answer→MCQ 921 Mark
यदि $A=\left[\begin{array}{cc}2 & -3 \\ 4 & 6\end{array}\right]$ तो $A^{-1}=$
- A
$\left[\begin{array}{ll}\frac{1}{4} & \frac{1}{8} \\ \frac{1}{6} & \frac{1}{12}\end{array}\right]$
- ✓
$\left[\begin{array}{cc}\frac{1}{4} & \frac{1}{8} \\ -\frac{1}{6} & \frac{1}{12}\end{array}\right]$
- C
$\left[\begin{array}{cc}4 & 8 \\ 6 & 12\end{array}\right]$
- D
$\left[\begin{array}{cc}4 & 8 \\ -6 & 12\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{cc}\frac{1}{4} & \frac{1}{8} \\ -\frac{1}{6} & \frac{1}{12}\end{array}\right]$
View full question & answer→MCQ 931 Mark
यदि $2 A+B+X=0$, जहाँ $A=\left[\begin{array}{cc}-1 & 2 \\ 3 & 4\end{array}\right]$ और $B=\left[\begin{array}{cc}3 & -2 \\ 1 & 5\end{array}\right]$ तो $X=$
- A
$\left[\begin{array}{cc}1 & 2 \\ -7 & -13\end{array}\right]$
- B
$\left[\begin{array}{cc}1 & 2 \\ 7 & 13\end{array}\right]$
- ✓
$\left[\begin{array}{cc}-1 & -2 \\ -7 & -13\end{array}\right]$
- D
$\left[\begin{array}{cc}-1 & -2 \\ 7 & 13\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}-1 & -2 \\ -7 & -13\end{array}\right]$
View full question & answer→MCQ 941 Mark
$\left[\begin{array}{ll}x & y\end{array}\right]=\left[\begin{array}{ll}2 x-1 & 9\end{array}\right] \Rightarrow$
- A
$x=3, y=9$
- ✓
$x=1, y=9$
- C
$x=0, y=9$
- D
$x=3, y=4$
AnswerCorrect option: B. $x=1, y=9$
View full question & answer→MCQ 951 Mark
$\left[\begin{array}{c}-3 \\ 5 \\ 2\end{array}\right]\left[\begin{array}{lll}1 & 6 & -4\end{array}\right]=$
- ✓
$\left[\begin{array}{ccc}-3 & -18 & 12 \\ 5 & 30 & -20 \\ 2 & 12 & -8\end{array}\right]$
- B
$\left[\begin{array}{ccc}-3 & -18 & 12 \\ 2 & 12 & -8 \\ 5 & 30 & -20\end{array}\right]$
- C
$\left[\begin{array}{ccc}5 & 30 & -20 \\ -3 & -18 & 12 \\ 2 & 12 & -8\end{array}\right]$
- D
$\left|\begin{array}{ccc}3 & 18 & 12 \\ 5 & 30 & 20 \\ 2 & 12 & 8\end{array}\right|$
AnswerCorrect option: A. $\left[\begin{array}{ccc}-3 & -18 & 12 \\ 5 & 30 & -20 \\ 2 & 12 & -8\end{array}\right]$
View full question & answer→MCQ 961 Mark
$A=\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right] \Rightarrow A^3=$
- ✓
$\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$
- B
$\left[\begin{array}{ll}0 & 1 \\ 0 & 1\end{array}\right]$
- C
$\left[\begin{array}{ll}0 & 5 \\ 5 & 0\end{array}\right]$
- D
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$
View full question & answer→MCQ 971 Mark
$A=\left[a_{i j}\right]_{m \times n}$ एक वर्ग आव्यूह है यदि
View full question & answer→MCQ 981 Mark
$5\left[\begin{array}{ll}5 & 6 \\ 7 & 8\end{array}\right]=$
- A
$\left[\begin{array}{cc}25 & 30 \\ 35 & 8\end{array}\right]$
- ✓
$\left[\begin{array}{ll}25 & 30 \\ 35 & 40\end{array}\right]$
- C
$\left[\begin{array}{cc}5 & 6 \\ 35 & 40\end{array}\right]$
- D
$\left[\begin{array}{ll}25 & 30 \\ 25 & 40\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{ll}25 & 30 \\ 35 & 40\end{array}\right]$
View full question & answer→MCQ 991 Mark
यदि $A=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$ तो $A^{25}$ का मान है
View full question & answer→MCQ 1001 Mark
आव्यूह $\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$ का सहखंडज आव्यूह है
- ✓
$\left[\begin{array}{cc}4 & -2 \\ -3 & 1\end{array}\right]$
- B
$\left[\begin{array}{cc}4 & -3 \\ -2 & 1\end{array}\right]$
- C
$\left[\begin{array}{ll}4 & 3 \\ 2 & 1\end{array}\right]$
- D
$\left[\begin{array}{ll}4 & 2 \\ 3 & 1\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{cc}4 & -2 \\ -3 & 1\end{array}\right]$
View full question & answer→MCQ 1011 Mark
$\left[\begin{array}{ll}6 & 5\end{array}\right]\left[\begin{array}{c}1 \\ -1\end{array}\right]=$
View full question & answer→MCQ 1021 Mark
$\left[\begin{array}{ll}2 a-7 & 1\end{array}\right]=[a b-1] \Rightarrow(a, b)=$
- A
$(1,7)$
- B
$(2,7)$
- ✓
$(7,2)$
- D
$(2,3)$
AnswerCorrect option: C. $(7,2)$
View full question & answer→MCQ 1031 Mark
$\left[\begin{array}{ll}2 & 3 \\ 5 & 7\end{array}\right]\left[\begin{array}{l}2 \\ 5\end{array}\right]=$
- A
$\left[\begin{array}{cc}4 & 6 \\ 25 & 35\end{array}\right]$
- B
$\left[\begin{array}{cc}4 & 15 \\ 10 & 35\end{array}\right]$
- C
$\left[\begin{array}{ll}19 & 45\end{array}\right]$
- ✓
$\left[\begin{array}{l}19 \\ 45\end{array}\right]$
AnswerCorrect option: D. $\left[\begin{array}{l}19 \\ 45\end{array}\right]$
View full question & answer→MCQ 1041 Mark
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]\left[\begin{array}{cc}2 & -3 \\ 0 & 4\end{array}\right]=$
- ✓
$\left[\begin{array}{cc}2 & -3 \\ 0 & 4\end{array}\right]$
- B
$\left[\begin{array}{ll}2 & 0 \\ 0 & 4\end{array}\right]$
- C
$\left[\begin{array}{cc}3 & -3 \\ 0 & 5\end{array}\right]$
- D
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{cc}2 & -3 \\ 0 & 4\end{array}\right]$
View full question & answer→MCQ 1051 Mark
$\left[\begin{array}{cc}13 & 15 \\ -1 & 4\end{array}\right]\left[\begin{array}{ll}2 & 0 \\ 0 & 2\end{array}\right]=$
- A
$\left[\begin{array}{cc}13 & 15 \\ -1 & 4\end{array}\right]$
- B
$\left[\begin{array}{cc}15 & 0 \\ 0 & 8\end{array}\right]$
- ✓
$\left[\begin{array}{cc}26 & 30 \\ -2 & 8\end{array}\right]$
- D
$\left[\begin{array}{cc}13 & 0 \\ 0 & 6\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}26 & 30 \\ -2 & 8\end{array}\right]$
View full question & answer→MCQ 1061 Mark
$3\left[\begin{array}{cc}7 & -2 \\ 8 & 0\end{array}\right]=$
- A
$\left[\begin{array}{cc}21 & -6 \\ 8 & 0\end{array}\right]$
- B
$\left[\begin{array}{cc}7 & -2 \\ 24 & 0\end{array}\right]$
- ✓
$\left[\begin{array}{cc}21 & -6 \\ 24 & 0\end{array}\right]$
- D
$\left[\begin{array}{cc}21 & -2 \\ 8 & 0\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}21 & -6 \\ 24 & 0\end{array}\right]$
View full question & answer→MCQ 1071 Mark
$[-1][1 \quad-1]=$
View full question & answer→MCQ 1081 Mark
यदि $X=\left[\begin{array}{cc}8 & 9 \\ 10 & 11\end{array}\right]$, तो $\operatorname{adj} A=$
- ✓
$\left[\begin{array}{cc}11 & -9 \\ -10 & 8\end{array}\right]$
- B
$\left[\begin{array}{cc}-8 & 9 \\ 10 & -11\end{array}\right]$
- C
$\left[\begin{array}{cc}-8 & -9 \\ 11 & 10\end{array}\right]$
- D
AnswerCorrect option: A. $\left[\begin{array}{cc}11 & -9 \\ -10 & 8\end{array}\right]$
View full question & answer→MCQ 1091 Mark
यदि A एक वर्ग आव्यूह इस प्रकार का है कि $A^3$$+3 A^2+3 A+I=0$. तब $A^{-1}$ बराबर है
- A
$A^2+3 A+3 I$
- B
$-A^3+3 A^2+3 A$
- ✓
$-A^2-3 A-3 I$
- D
AnswerCorrect option: C. $-A^2-3 A-3 I$
View full question & answer→MCQ 1101 Mark
$x=\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right] \Rightarrow x^6=$
- A
$\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$
- ✓
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
- C
$\left[\begin{array}{ll}1 & 0 \\ 1 & 0\end{array}\right]$
- D
$\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
View full question & answer→MCQ 1111 Mark
$\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0\end{array}\right]\left[\begin{array}{ll}1 & 0 \\ 0 & 1 \\ 0 & 0\end{array}\right]=$
- A
$\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 0\end{array}\right]$
- B
$\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$
- ✓
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
- D
$\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
View full question & answer→MCQ 1121 Mark
$\left[\begin{array}{ll}3 x+5 & y-2\end{array}\right]=\left[\begin{array}{ll}11 & 6\end{array}\right] \Rightarrow(x, y)=$
- ✓
$(2,8)$
- B
$(8,2)$
- C
$(4,5)$
- D
$(5,4)$
AnswerCorrect option: A. $(2,8)$
View full question & answer→MCQ 1131 Mark
$\left[\begin{array}{ll}2 & 3 \\ 5 & 7\end{array}\right]\left[\begin{array}{l}1 \\ 1\end{array}\right]=$
- ✓
$\left[\begin{array}{c}5 \\ 12\end{array}\right]$
- B
$\left[\begin{array}{ll}5 & 12\end{array}\right]$
- C
$\left[\begin{array}{ll}2 & 3 \\ 5 & 7\end{array}\right]$
- D
$\left[\begin{array}{ll}5 & 7 \\ 3 & 2\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{c}5 \\ 12\end{array}\right]$
View full question & answer→MCQ 1141 Mark
$\left[\begin{array}{l}1 \\ 0\end{array}\right]\left[\begin{array}{ll}3 & 5\end{array}\right]=$
- A
$\left[\begin{array}{ll}3 & 0 \\ 0 & 5\end{array}\right]$
- B
$\left[\begin{array}{ll}3 & 5\end{array}\right]$
- C
$\left[\begin{array}{l}3 \\ 5\end{array}\right]$
- ✓
$\left[\begin{array}{ll}3 & 5 \\ 0 & 0\end{array}\right]$
AnswerCorrect option: D. $\left[\begin{array}{ll}3 & 5 \\ 0 & 0\end{array}\right]$
View full question & answer→MCQ 1151 Mark
$3\left[\begin{array}{ll}2 & 5 \\ 5 & 7\end{array}\right]=$
- ✓
$\left[\begin{array}{cc}6 & 15 \\ 15 & 21\end{array}\right]$
- B
$\left[\begin{array}{cc}6 & 15 \\ 5 & 7\end{array}\right]$
- C
$\left[\begin{array}{cc}2 & 5 \\ 15 & 21\end{array}\right]$
- D
$\left[\begin{array}{ll}2 & 15 \\ 5 & 21\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{cc}6 & 15 \\ 15 & 21\end{array}\right]$
View full question & answer→MCQ 1161 Mark
यदि A एक वर्ग आव्यूह इस प्रकार का है कि $3 A^3+2 A^2+5 A+I=0$, तब $A^{-1}$ बराबर है
- A
$3 A^2+2 A+5 I$
- ✓
$-3 A^2-2 A-5 I$
- C
$-3 A^2+2 A-5 I$
- D
AnswerCorrect option: B. $-3 A^2-2 A-5 I$
View full question & answer→MCQ 1171 Mark
इनमें से कौन आव्यूह सममित है?
- A
$\left[\begin{array}{ccc}-1 & 2 & -2 \\ -2 & 1 & 2 \\ 2 & 2 & 1\end{array}\right]$
- B
$\left[\begin{array}{lll}1 & 0 & 2 \\ 0 & 1 & 0 \\ 0 & 0 & 5\end{array}\right]$
- C
$\left[\begin{array}{ll}1 & 2 \\ 3 & 6\end{array}\right]$
- ✓
View full question & answer→MCQ 1181 Mark
$\left[\begin{array}{ll}x & y\end{array}\right]=\left[\begin{array}{ll}2 x-1 & 7\end{array}\right] \Rightarrow$
- A
$x=3, y=7$
- ✓
$x=1, y=7$
- C
$x=0, y=7$
- D
$x=3, y=4$
AnswerCorrect option: B. $x=1, y=7$
View full question & answer→MCQ 1191 Mark
$\left[\begin{array}{l}1 \\ 0\end{array}\right]\left[\begin{array}{ll}5 & 6\end{array}\right]=$
- A
$\left[\begin{array}{ll}5 & 6\end{array}\right]$
- B
$\left[\begin{array}{l}5 \\ 6\end{array}\right]$
- C
$\left[\begin{array}{ll}0 & 0 \\ 5 & 6\end{array}\right]$
- ✓
$\left[\begin{array}{ll}5 & 6 \\ 0 & 0\end{array}\right]$
AnswerCorrect option: D. $\left[\begin{array}{ll}5 & 6 \\ 0 & 0\end{array}\right]$
View full question & answer→MCQ 1201 Mark
$\left[\begin{array}{cc}7 & 6 \\ 0 & -1\end{array}\right]\left[\begin{array}{cc}1 & 0 \\ 0 & 1\end{array}\right]=$
- A
$\left[\begin{array}{ll}8 & 6 \\ 0 & 0\end{array}\right]$
- B
$\left[\begin{array}{cc}7 & 0 \\ 0 & -1\end{array}\right]$
- ✓
$\left[\begin{array}{cc}7 & 6 \\ 0 & -1\end{array}\right]$
- D
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}7 & 6 \\ 0 & -1\end{array}\right]$
View full question & answer→MCQ 1211 Mark
$\left[\begin{array}{cc}2 & 5 \\ 8 & 10\end{array}\right]\left[\begin{array}{c}5 \\ 50\end{array}\right]=$
- A
$\left[\begin{array}{lll}260 & 540\end{array}\right]$
- ✓
$\left[\begin{array}{l}260 \\ 540\end{array}\right]$
- C
$\left[\begin{array}{cc}10 & 25 \\ 400 & 500\end{array}\right]$
- D
$\left[\begin{array}{c}35 \\ 900\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{l}260 \\ 540\end{array}\right]$
View full question & answer→MCQ 1221 Mark
$3\left[\begin{array}{ll}5 & 6 \\ 7 & 8\end{array}\right]=$
- A
$\left[\begin{array}{cc}15 & 18 \\ 7 & 8\end{array}\right]$
- B
$\left[\begin{array}{cc}5 & 6 \\ 21 & 24\end{array}\right]$
- ✓
$\left[\begin{array}{ll}15 & 18 \\ 21 & 24\end{array}\right]$
- D
$\left[\begin{array}{ll}15 & 6 \\ 21 & 8\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{ll}15 & 18 \\ 21 & 24\end{array}\right]$
View full question & answer→MCQ 1231 Mark
$2\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]=$
- A
$\left[\begin{array}{ll}2 & 2 \\ 3 & 4\end{array}\right]$
- B
$\left[\begin{array}{ll}1 & 4 \\ 6 & 4\end{array}\right]$
- C
$\left[\begin{array}{ll}2 & 2 \\ 6 & 4\end{array}\right]$
- ✓
$\left[\begin{array}{ll}2 & 4 \\ 6 & 8\end{array}\right]$
AnswerCorrect option: D. $\left[\begin{array}{ll}2 & 4 \\ 6 & 8\end{array}\right]$
View full question & answer→MCQ 1241 Mark
यदि $A=\left[\begin{array}{ll}2 & 3 \\ 1 & 4\end{array}\right]$, तब $\operatorname{adj} A=$
- ✓
$\left[\begin{array}{cc}4 & -3 \\ -1 & 2\end{array}\right]$
- B
$\left[\begin{array}{cc}-2 & 3 \\ 1 & -4\end{array}\right]$
- C
$\left[\begin{array}{cc}2 & 3 \\ -1 & -4\end{array}\right]$
- D
$\left[\begin{array}{cc}4 & 3 \\ 1 & -2\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{cc}4 & -3 \\ -1 & 2\end{array}\right]$
View full question & answer→MCQ 1251 Mark
यदि $\left[\begin{array}{ll}\lambda & 0 \\ 1 & 1\end{array}\right], B=\left[\begin{array}{ll}1 & 0 \\ 2 & 1\end{array}\right]$ और $A^2=B$ तो $\lambda=$
View full question & answer→MCQ 1261 Mark
यदि $\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$, तो
AnswerCorrect option: A. $A^{-1}$ का अस्तित्व है
View full question & answer→MCQ 1271 Mark
यदि A और B एक ही क्रम के वर्ग आव्यूह हों, तो $(A B)^{\prime}=$
- ✓
$B^{\prime} A$
- B
$A^{\prime} B^{\prime}$
- C
$A B^{\prime}$
- D
$A^{\prime} B$
AnswerCorrect option: A. $B^{\prime} A$
View full question & answer→MCQ 1281 Mark
यदि $A=\left[\begin{array}{cc}4 \alpha & 0 \\ 5 & 1\end{array}\right], B=\left[\begin{array}{cc}16 & 0 \\ 5 & 1\end{array}\right]$, जहाँ A = B तो $\alpha$ का मान है
View full question & answer→MCQ 1291 Mark
आव्यूह $\left[\begin{array}{lll}a & h & g \\ h & b & f \\ g & f & c\end{array}\right]$ है
View full question & answer→MCQ 1301 Mark
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]+\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]=$
- A
$\left[\begin{array}{ll}2 & 0 \\ 0 & 2\end{array}\right]$
- B
$\left[\begin{array}{ll}0 & 2 \\ 2 & 0\end{array}\right]$
- C
$\left[\begin{array}{ll}2 & 2 \\ 2 & 2\end{array}\right]$
- ✓
$\left[\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right]$
AnswerCorrect option: D. $\left[\begin{array}{ll}1 & 1 \\ 1 & 1\end{array}\right]$
View full question & answer→MCQ 1311 Mark
यदि $A=\left[\begin{array}{lll}1 & 2 & 3 \\ 4 & 5 & 6\end{array}\right]$ तो $A^{\prime}=$
- A
$\left[\begin{array}{lll}2 & 1 & 3 \\ 5 & 4 & 6\end{array}\right]$
- B
$\left[\begin{array}{lll}4 & 5 & 6 \\ 1 & 2 & 3\end{array}\right]$
- ✓
$\left[\begin{array}{ll}1 & 4 \\ 2 & 5 \\ 3 & 6\end{array}\right]$
- D
$\left[\begin{array}{ll}3 & 6 \\ 2 & 5 \\ 1 & 4\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{ll}1 & 4 \\ 2 & 5 \\ 3 & 6\end{array}\right]$
View full question & answer→MCQ 1321 Mark
यदि $2\left[\begin{array}{ll}3 & 4 \\ 5 & x\end{array}\right]+\left[\begin{array}{ll}1 & y \\ 0 & 1\end{array}\right]=\left[\begin{array}{rr}7 & 0 \\ 10 & 5\end{array}\right]$ तब
- A
$x=-2, y=8$
- ✓
$x=2, y=-8$
- C
$x=3, y=-6$
- D
$x=-3, y=6$
AnswerCorrect option: B. $x=2, y=-8$
View full question & answer→MCQ 1331 Mark
निम्नलिखित आव्यूहों में कौन $3 \times 3$ क्रम का एकांक आव्यूह है?
- A
$\left[\begin{array}{lll}1 & 0 & 0 \\ 1 & 0 & 0 \\ 1 & 0 & 0\end{array}\right]$
- ✓
$\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$
- C
$\left[\begin{array}{lll}0 & 0 & 1 \\ 0 & 0 & 1 \\ 0 & 0 & 1\end{array}\right]$
- D
$\left[\begin{array}{lll}0 & 1 & 0 \\ 0 & 1 & 0 \\ 0 & 1 & 0\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$
View full question & answer→MCQ 1341 Mark
यदि $A=\left[\begin{array}{cc}1 & -1 \\ -1 & 1\end{array}\right]$, तब $A^3=$
View full question & answer→MCQ 1351 Mark
यदि A एक वर्ग आव्यूह हो तो $A-A^{\prime}$ होगा।
View full question & answer→MCQ 1361 Mark
दो आव्यूहों A और B के गुणनफल के लिए शर्त है कि
- A
A के पंक्तियों की संख्या = B के स्तंभों की संख्या
- B
A के पंक्तियों की संख्या = B के पंक्तियों की संख्या
- ✓
A के स्तंभों की संख्या = B के पंक्तियों की संख्या
- D
A के स्तंभों की संख्या = B के स्तंभों की संख्या
AnswerCorrect option: C. A के स्तंभों की संख्या = B के पंक्तियों की संख्या
View full question & answer→MCQ 1371 Mark
A एक वर्ग आव्यूह है, तब $A+A^{\prime}=$
View full question & answer→MCQ 1381 Mark
माना कि A एक व्युत्क्रमणीय आव्यूह है जिसका क्रम $2 \times 2$ है, तो $|\operatorname{adj} A|=$
- A
$2|A|$
- ✓
$|A|$
- C
$|A|^2$
- D
$|A|^3$
View full question & answer→MCQ 1391 Mark
$A=\left[\begin{array}{ccc}9 & 10 & 11 \\ 12 & 13 & 14\end{array}\right], B=\left[\begin{array}{ccc}11 & 10 & 9 \\ 8 & 7 & 6\end{array}\right]$ $\Rightarrow 2 A+2 B=$
- A
$\left[\begin{array}{lll}20 & 20 & 20 \\ 20 & 20 & 20\end{array}\right]$
- ✓
$\left[\begin{array}{lll}40 & 40 & 40 \\ 40 & 40 & 40\end{array}\right]$
- C
$\left[\begin{array}{lll}20 & 20 & 20 \\ 40 & 40 & 40\end{array}\right]$
- D
$\left[\begin{array}{lll}40 & 40 & 40 \\ 20 & 20 & 20\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{lll}40 & 40 & 40 \\ 40 & 40 & 40\end{array}\right]$
View full question & answer→MCQ 1401 Mark
$A=\left[\begin{array}{cc}1 & -1 \\ -1 & 1\end{array}\right] \Rightarrow A^2=$
View full question & answer→MCQ 1411 Mark
$A=\left[\begin{array}{cc}3 & 6 \\ 5 & -4\end{array}\right], B=\left[\begin{array}{ll}7 & 8 \\ 5 & 6\end{array}\right] \Rightarrow 2 A+3 B=$
- A
$\left[\begin{array}{ll}27 & 24 \\ 22 & 10\end{array}\right]$
- ✓
$\left[\begin{array}{ll}27 & 36 \\ 25 & 10\end{array}\right]$
- C
$\left[\begin{array}{ll}27 & 36 \\ 25 & 15\end{array}\right]$
- D
$\left[\begin{array}{ll}27 & 36 \\ 35 & 10\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{ll}27 & 36 \\ 25 & 10\end{array}\right]$
View full question & answer→MCQ 1421 Mark
आव्यूह $\left[\begin{array}{ll}3 & 5 \\ 2 & k\end{array}\right]$ का व्युत्क्रम प्राप्त नहीं होगा यदि k का मान है
- A
$0$
- B
- ✓
$\frac{10}{3}$
- D
$\frac{4}{9}$
AnswerCorrect option: C. $\frac{10}{3}$
View full question & answer→MCQ 1431 Mark
यदि $\left[\begin{array}{cc}2 x-y & 5 \\ 3 & y\end{array}\right]=\left[\begin{array}{cc}6 & 5 \\ 3 & -2\end{array}\right]$, तो $x=$
View full question & answer→MCQ 1441 Mark
किसी एकांक आव्यूह $l$ के लिए
- ✓
$I^2=I$
- B
$|I|=0$
- C
$|I|=2$
- D
$|I|=5$
AnswerCorrect option: A. $I^2=I$
View full question & answer→MCQ 1451 Mark
$A=\left[\begin{array}{ll}2 & 3 \\ 5 & k\end{array}\right]$ का व्युत्क्रम प्राप्त नहीं होगा यदि k का मान है
- A
- B
$\frac{3}{2}$
- C
$\frac{5}{2}$
- ✓
$\frac{15}{2}$
AnswerCorrect option: D. $\frac{15}{2}$
View full question & answer→MCQ 1461 Mark
यदि $A=\left[\begin{array}{ccc}9 & 10 & 11 \\ 12 & 13 & 14\end{array}\right]$ और $B=\left[\begin{array}{ccc}11 & 10 & 9 \\ 8 & 7 & 6\end{array}\right]$ तब $A+B=$..............
- ✓
$\left[\begin{array}{lll}20 & 20 & 20 \\ 20 & 20 & 20\end{array}\right]$
- B
$\left[\begin{array}{lll}10 & 10 & 10 \\ 10 & 10 & 10\end{array}\right]$
- C
$\left[\begin{array}{ccc}10 & 5 & 10 \\ 5 & 10 & 10\end{array}\right]$
- D
$\left[\begin{array}{rrr}25 & 10 & 15 \\ 15 & 10 & 25\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{lll}20 & 20 & 20 \\ 20 & 20 & 20\end{array}\right]$
View full question & answer→MCQ 1471 Mark
यदि $A=\left[\begin{array}{lll}1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1\end{array}\right]$ तो $A^2$ है
View full question & answer→MCQ 1481 Mark
एक आव्यूह $A=\left[a_{i j}\right]_{n \times n}$ विषम सममित है यदि
- A
$a_{i j}=0$
- ✓
$a_{i j}=-a_{j i}$
- C
$a_{i j}=a_{j i}$
- D
$a_{i j}=1$
AnswerCorrect option: B. $a_{i j}=-a_{j i}$
View full question & answer→MCQ 1491 Mark
एक आव्यूह $A=\left[a_{i j}\right]_{n \times n}$ को सममित कहा जाता है यदि
- A
$a_{i j}=0$
- B
$a_{i j}=-a_{j i}$
- ✓
$a_{i j}=a_{j i}$
- D
$a_{i j}=1$
AnswerCorrect option: C. $a_{i j}=a_{j i}$
View full question & answer→MCQ 1501 Mark
यदि $A=\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right]$ तो adj A है:
- A
$\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \cos \theta & \sin \theta\end{array}\right]$
- B
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
- ✓
$\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
- D
$\left[\begin{array}{cc}-1 & 0 \\ 0 & -1\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
View full question & answer→MCQ 1511 Mark
यदि A कोटि 2 का व्युत्क्रमणीय आव्यूह है तो $\operatorname{det}\left(A^{-1}\right)$ बराबर होगा
AnswerCorrect option: B. $\frac{1}{\operatorname{det}(A)}$
View full question & answer→MCQ 1521 Mark
यदि $A=\left[\begin{array}{ll}i & 0 \\ 0 & i\end{array}\right]$, तब $A^2=$
- A
$\left[\begin{array}{cc}1 & 0 \\ 0 & -1\end{array}\right]$
- ✓
$\left[\begin{array}{cc}-1 & 0 \\ 0 & -1\end{array}\right]$
- C
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
- D
$\left[\begin{array}{cc}-1 & 0 \\ 0 & 1\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{cc}-1 & 0 \\ 0 & -1\end{array}\right]$
View full question & answer→MCQ 1531 Mark
यदि $A=\left[\begin{array}{ll}1 & 2 \\ 2 & 1\end{array}\right]$, तो $\operatorname{adj} A=$
- ✓
$\left[\begin{array}{cc}1 & -2 \\ -2 & 1\end{array}\right]$
- B
$\left[\begin{array}{ll}2 & 1 \\ 1 & 1\end{array}\right]$
- C
$\left[\begin{array}{cc}1 & -2 \\ -2 & -1\end{array}\right]$
- D
$\left[\begin{array}{cc}-1 & 2 \\ 2 & -1\end{array}\right]$
AnswerCorrect option: A. $\left[\begin{array}{cc}1 & -2 \\ -2 & 1\end{array}\right]$
View full question & answer→MCQ 1541 Mark
यदि $A=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right], B=\left[\begin{array}{ll}0 & 1 \\ 1 & 0\end{array}\right]$ तब $A B=$
- A
$\left[\begin{array}{ll}0 & 0 \\ 0 & 0\end{array}\right]$
- ✓
$\left[\begin{array}{ll}1 & 1 \\ 1 & 0\end{array}\right]$
- C
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
- D
AnswerCorrect option: B. $\left[\begin{array}{ll}1 & 1 \\ 1 & 0\end{array}\right]$
View full question & answer→MCQ 1551 Mark
यदि $A=\left[\begin{array}{ccc}1 & 0 & 0 \\ 0 & 1 & 0 \\ a & b & -1\end{array}\right]$ तब $A^2=$
View full question & answer→MCQ 1561 Mark
माना कि A एक व्युत्क्रमणीय आव्यूह है जिसका क्रम $2 \times 2$ है, तो $\left|A^{-1}\right|=$
- A
$|A|$
- ✓
$\frac{1}{|A|}$
- C
$0$
- D
AnswerCorrect option: B. $\frac{1}{|A|}$
View full question & answer→MCQ 1571 Mark
यदि $A=\left[\begin{array}{ll}\alpha & 0 \\ 1 & 1\end{array}\right], B=\left[\begin{array}{ll}1 & 0 \\ 5 & 1\end{array}\right]$ जहाँ $A^2=B$, तो $\alpha$ का मान है
AnswerCorrect option: D. $\alpha$ का कोई वास्तविक मान नहीं है
View full question & answer→MCQ 1581 Mark
यदि $A=\left[\begin{array}{ll}1 & 2 \\ 4 & 2\end{array}\right]$ तब $|2 A|=$
AnswerCorrect option: B. $4|A|$
View full question & answer→MCQ 1591 Mark
$\left[\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta\end{array}\right]$ का व्युत्क्रम है।
- A
$\left[\begin{array}{ll}-\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
- ✓
$\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
- C
$\left[\begin{array}{ll}\cos \theta & -\sin \theta \\ \sin \theta & -\cos \theta\end{array}\right]$
- D
AnswerCorrect option: B. $\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$
View full question & answer→MCQ 1601 Mark
यदि $A=\left[\begin{array}{ll}1 & 2 \\ 3 & 4\end{array}\right]$ तब
- A
$|A|=0$
- ✓
$A^{-1}$ का अस्तित्व है
- C
$A^2=2 A$
- D
AnswerCorrect option: B. $A^{-1}$ का अस्तित्व है
View full question & answer→MCQ 1611 Mark
समीकरणों $2 x-3 y+6 z=4,5 x+7 y-14 z=$$1$ व $3 x+2 y-4 z=0$ के होते हैं
View full question & answer→MCQ 1621 Mark
वह आव्यूह जिसका व्युत्क्रम वही आव्यूह हो, है
- A
$\left[\begin{array}{lll}1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1\end{array}\right]$
- ✓
$\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$
- C
$\left[\begin{array}{lll}1 & 0 & 1 \\ 0 & 1 & 0 \\ 1 & 0 & 1\end{array}\right]$
- D
$\left[\begin{array}{lll}0 & 1 & 0 \\ 1 & 1 & 1 \\ 0 & 1 & 0\end{array}\right]$
AnswerCorrect option: B. $\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$
View full question & answer→MCQ 1631 Mark
यदि समीकरण निकाय, $a x+y=1, x+2 y=3$, $2 x+3 y=5$ संगत हैं, तब $a=$
View full question & answer→MCQ 1641 Mark
यदि दो आव्यूह A एवं B $2 \times 4$ और $3 \times 2$ क्रम के आव्यूह हो तो AB का क्रम है-
- A
$2 \times 2$
- B
$4 \times 3$
- C
$2 \times 3$
- ✓
AB ज्ञात करना संभव नहीं है।
AnswerCorrect option: D. AB ज्ञात करना संभव नहीं है।
View full question & answer→MCQ 1651 Mark
यदि एक वर्ग आव्यूह सममित एवं विषम सममित दोनों हों तो आव्यूह है-
MCQ 1661 Mark
यदि एक 3-पंक्ति का वर्ग आव्यूह हो एवं $|A|=4$, तब $\operatorname{adj}(\operatorname{adj} A)=$
View full question & answer→MCQ 1671 Mark
यदि आव्यूह B आव्यूह A का प्रतिलोम आव्यूह हो तो $A B=B A=$
View full question & answer→MCQ 1681 Mark
यदि आव्यूह $A=\left[\begin{array}{cc}3-2 x & x+1 \\ 2 & 4\end{array}\right]$ व्यूत्क्रमणीय हो तो $x=$ ?
View full question & answer→MCQ 1691 Mark
यदि $\left[\begin{array}{cc}x+y & y \\ 2 x & x-y\end{array}\right]\left[\begin{array}{c}2 \\ -1\end{array}\right]=\left[\begin{array}{l}3 \\ 2\end{array}\right]$, तो $x \cdot y=$
View full question & answer→MCQ 1701 Mark
यदि $\left[\begin{array}{cc}3 & -2 \\ 5 & 6\end{array}\right]+2 A=\left[\begin{array}{cc}5 & 6 \\ -7 & 10\end{array}\right]$ तो $A=$
- A
$\left[\begin{array}{cc}1 & 3 \\ -5 & 4\end{array}\right]$
- B
$\left[\begin{array}{ll}-1 & 5 \\ -3 & 4\end{array}\right]$
- ✓
$\left[\begin{array}{cc}1 & 4 \\ -6 & 2\end{array}\right]$
- D
$\left[\begin{array}{ll}1 & 4 \\ 6 & 2\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}1 & 4 \\ -6 & 2\end{array}\right]$
View full question & answer→MCQ 1711 Mark
यदि $I_3$ क्रम $3 \times 3$ का इकाई आव्यूह हो, तब $\left(I_3\right)^{-1}=$
- A
$0$
- B
$3 I_3$
- ✓
$I_3$
- D
ज्ञात नहीं किया जा सकता है
View full question & answer→MCQ 1721 Mark
यदि $I 2 \times 2$ क्रम का एक इकाई आव्यूह हो तब $I^3=$
View full question & answer→MCQ 1731 Mark
यदि A तथा B समान क्रम के वर्ग आव्यूह हो तब $(A+B) \cdot(A-B)=A^2-B^2$, यदि
View full question & answer→MCQ 1741 Mark
यदि A तथा B उपयुक्त कोटि के व्युत्क्रमणीय आव्यूह हों, तो $(A B)^{-1}$ का मान होगा
AnswerCorrect option: B. $B^{-1} A^{-1}$
View full question & answer→MCQ 1751 Mark
यदि A का परिवर्त A' हो, तो A' का परिवर्त है
MCQ 1761 Mark
यदि A और B एक ही क्रम के वर्ग आव्यूह हों तो $\operatorname{adj}(A B)=$
AnswerCorrect option: B. $(\operatorname{adj} B)(\operatorname{adj} A)$
View full question & answer→MCQ 1771 Mark
यदि A एवं B तीन क्रम के वर्ग आव्यूह हों तथा $|A|=-1,|B|=3$, तब $|3 A B|=$
View full question & answer→MCQ 1781 Mark
यदि A एक वर्ग आव्यूह इस प्रकार का हो कि $A(\operatorname{adj} A)=\left[\begin{array}{lll}4 & 0 & 0 \\ 0 & 4 & 0 \\ 0 & 0 & 4\end{array}\right]$, तब $|\operatorname{adj} A|=$
View full question & answer→MCQ 1791 Mark
यदि A एक वर्ग आव्यूह इस प्रकार का हो कि $|A|=2$ तब किसी धनात्मक पूर्णांक $n$ के लिए $|A|^n=$
View full question & answer→MCQ 1801 Mark
यदि A एक वर्ग आव्यूह इस प्रकार का हो कि $A^2=A$, तब $|A|=$
View full question & answer→MCQ 1811 Mark
यदि A एक वर्ग आव्यूह इस प्रकार का है कि $A^2=A$, तब $(I+A)^4=$
AnswerCorrect option: C. $I+15 A$
View full question & answer→MCQ 1821 Mark
यदि A एक n क्रम का वर्ग आव्यूह हो एवं $\lambda$ एक अदिश हो तब $|\lambda A|=$
- ✓
$\lambda^n|A|$
- B
$2^{n-1} A$
- C
$n A$
- D
AnswerCorrect option: A. $\lambda^n|A|$
View full question & answer→MCQ 1831 Mark
यदि A एक व्युत्क्रमणीय आव्यूह हो और k एक धनात्मक वास्तविक संख्या हो तो $(k A)^{-1}=$
- A
$k A^{-1}$
- ✓
$\frac{A^{-1}}{k}$
- C
$-k A^{-1}$
- D
AnswerCorrect option: B. $\frac{A^{-1}}{k}$
View full question & answer→MCQ 1841 Mark
यदि A एक $m \times n$ क्रम का आव्यूह इस प्रकार का है कि AB तथा BA दोनों परिभाषित हैं तब आव्यूह B का क्रम है-
- A
$m \times n$
- ✓
$n \times m$
- C
$n \times n$
- D
$m \times m$
AnswerCorrect option: B. $n \times m$
View full question & answer→MCQ 1851 Mark
यदि A एक 3-पंक्ति का वर्ग आव्यूह हो एवं $|A|=5$, तब $|\operatorname{adj} A|=$
View full question & answer→MCQ 1861 Mark
यदि A एक $3 \times 3$ आव्यूह हो और B इसका सहखंडन आव्यूह हो और यदि $|B|=64$, तब $|A|=$
AnswerCorrect option: C. $\pm 8$
View full question & answer→MCQ 1871 Mark
यदि A एक $3 \times 3$ आव्यूह है तथा $|A|=4$, तब $|\operatorname{Adj} A|=$
View full question & answer→MCQ 1881 Mark
यदि A, n क्रम का अशून्य वर्ग आव्यूह है, तब A $(\operatorname{adj} A)=$
AnswerCorrect option: B. $|A| I$
View full question & answer→MCQ 1891 Mark
यदि $A=\left[\begin{array}{ll}x & 1 \\ 1 & 0\end{array}\right]$ और $A^2$ इकाई आव्यूह हो, तब $x=$
View full question & answer→MCQ 1901 Mark
यदि $A=\left[\begin{array}{lll}a & 0 & 0 \\ 0 & a & 0 \\ 0 & 0 & a\end{array}\right]$, तो $|\operatorname{adj} A|$ का मान है-
- A
$a^3$
- ✓
$a^6$
- C
$a^9$
- D
$a^{27}$
View full question & answer→MCQ 1911 Mark
यदि $A=\left[\begin{array}{lll}3 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 1\end{array}\right]$, तब A है
View full question & answer→MCQ 1921 Mark
यदि $A=\left[\begin{array}{lll}3 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 3\end{array}\right]$, तब $A^5=$
View full question & answer→MCQ 1931 Mark
यदि $A=\left[\begin{array}{lll}2 & 3 & 0\end{array}\right], B=\left[\begin{array}{c}-1 \\ 5 \\ 8\end{array}\right]$, तब $B^{\prime}-A=$
AnswerCorrect option: B. $\left[\begin{array}{lll}-3 & 2 & 8\end{array}\right]$
View full question & answer→MCQ 1941 Mark
यदि $A=\left[\begin{array}{lll}2 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 2\end{array}\right]$, तब $A^5=$
View full question & answer→MCQ 1951 Mark
यदि $A=\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1\end{array}\right]$, तब $A^2+2 A=$
View full question & answer→MCQ 1961 Mark
यदि $A=\left[\begin{array}{lll}0 & 0 & 0 \\ 1 & 0 & 0 \\ 0 & 1 & 0\end{array}\right]$, तब
- A
$A^2=A$
- B
$A^2=0$
- C
$A^2=I$
- ✓
$A^3=0$
AnswerCorrect option: D. $A^3=0$
View full question & answer→MCQ 1971 Mark
यदि $A=\left[\begin{array}{ll}a & b \\ c & d\end{array}\right]$ तब $A^2=$
AnswerCorrect option: B. $\left[\begin{array}{ll}a^2+b c & a b+b d \\ a c+c d & b c+d^2\end{array}\right]$
View full question & answer→MCQ 1981 Mark
यदि $A=\left[\begin{array}{ll}5 & -5 \\ 5 & -5\end{array}\right]$, तब $A^{\prime}=$
- A
$\left[\begin{array}{ll}5 & -5 \\ 5 & -5\end{array}\right]$
- B
$\left[\begin{array}{ll}5 & 5 \\ 5 & 5\end{array}\right]$
- ✓
$\left[\begin{array}{cc}5 & 5 \\ -5 & -5\end{array}\right]$
- D
$\left[\begin{array}{ll}-5 & -5 \\ -5 & -5\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}5 & 5 \\ -5 & -5\end{array}\right]$
View full question & answer→MCQ 1991 Mark
यदि $A=\left[\begin{array}{ll}2 & 0 \\ 0 & 2\end{array}\right]$ और $B=\left[\begin{array}{ll}p & q \\ r & s\end{array}\right]$ तब $B A=$
View full question & answer→MCQ 2001 Mark
यदि $A=\left[\begin{array}{ll}1 & 4 \\ 2 & 3\end{array}\right]$ तब $A^2-4 A=$
View full question & answer→MCQ 2011 Mark
यदि $A=\left[\begin{array}{ll}1 & 1 \\ 0 & 1\end{array}\right]$, तब $A^{-1}=$
- A
$\left[\begin{array}{cc}1 & 0 \\ -1 & 1\end{array}\right]$
- B
$\left[\begin{array}{cc}-1 & 1 \\ 0 & 1\end{array}\right]$
- ✓
$\left[\begin{array}{cc}1 & -1 \\ 0 & 1\end{array}\right]$
- D
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}1 & -1 \\ 0 & 1\end{array}\right]$
View full question & answer→MCQ 2021 Mark
यदि $A=\left[\begin{array}{ccc}x & 1 & 4 \\ -1 & 0 & 7 \\ -4 & -7 & 0\end{array}\right]$ इस प्रकार का हो कि $A^{\prime}=-A$, तब $x=$
View full question & answer→MCQ 2031 Mark
यदि $A=\left[\begin{array}{cc}\cos \theta & \sin \theta \\ -\sin \theta & \cos \theta\end{array}\right]$, तब $A A^{\prime}=$
View full question & answer→MCQ 2041 Mark
यदि $A=\left[\begin{array}{ccc}1 & k & 3 \\ 3 & k & -2 \\ 2 & 3 & -4\end{array}\right]$ व्युत्क्रमणीय हो तब $k=?$
- A
$\frac{16}{3}$
- B
$\frac{34}{5}$
- ✓
$\frac{33}{2}$
- D
$\frac{17}{3}$
AnswerCorrect option: C. $\frac{33}{2}$
View full question & answer→MCQ 2051 Mark
यदि $A=\left[\begin{array}{ccc}0 & -1 & -4 \\ 1 & 0 & -7 \\ 4 & 7 & 0\end{array}\right]$, तब $A^{\prime}=$
View full question & answer→MCQ 2061 Mark
यदि $A=\left[\begin{array}{cc}4 & x+2 \\ 2 x-3 & x+1\end{array}\right]$ सममित हो तब $x=$
View full question & answer→MCQ 2071 Mark
यदि $A=\left[\begin{array}{cc}3 & -5 \\ -4 & 2\end{array}\right]$, तब $A^2-5 A=$
AnswerCorrect option: B. $14 I$
View full question & answer→MCQ 2081 Mark
यदि $A=\left[\begin{array}{cc}3 & -4 \\ -1 & 2\end{array}\right]$ तथा $B 2 \times 2$ क्रम का इस प्रकार का वर्ग आव्यूह हो कि $A B=I$ तब $B=$
- A
$\left[\begin{array}{ll}1 & 2 \\ 2 & 3\end{array}\right]$
- B
$\left[\begin{array}{ll}1 & \frac{1}{2} \\ 2 & \frac{3}{2}\end{array}\right]$
- ✓
$\left[\begin{array}{ll}1 & 2 \\ \frac{1}{2} & \frac{3}{2}\end{array}\right]$
- D
AnswerCorrect option: C. $\left[\begin{array}{ll}1 & 2 \\ \frac{1}{2} & \frac{3}{2}\end{array}\right]$
View full question & answer→MCQ 2091 Mark
यदि $A=\left[\begin{array}{cc}-2 & 3 \\ 1 & 1\end{array}\right]$ तो $\left|A^{-1}\right|=$
- A
- ✓
$-\frac{1}{5}$
- C
$\frac{1}{25}$
- D
AnswerCorrect option: B. $-\frac{1}{5}$
View full question & answer→MCQ 2101 Mark
यदि $A=\left[\begin{array}{cc}2 & -1 \\ 1 & 3\end{array}\right]$ तो $A^{-1}=$
- A
$\left[\begin{array}{cc}\frac{3}{7} & -\frac{1}{7} \\ \frac{1}{7} & \frac{2}{7}\end{array}\right]$
- ✓
$\left[\begin{array}{cc}\frac{3}{7} & \frac{1}{7} \\ -\frac{1}{7} & \frac{2}{7}\end{array}\right]$
- C
$\left[\begin{array}{ll}\frac{1}{3} & \frac{1}{7} \\ \frac{1}{7} & \frac{2}{7}\end{array}\right]$
- D
AnswerCorrect option: B. $\left[\begin{array}{cc}\frac{3}{7} & \frac{1}{7} \\ -\frac{1}{7} & \frac{2}{7}\end{array}\right]$
View full question & answer→MCQ 2111 Mark
यदि $A=\left[\begin{array}{cc}1 & -2 \\ 5 & 3\end{array}\right]$ तो $A+A^{\prime}=$
- ✓
$\left[\begin{array}{ll}2 & 3 \\ 3 & 6\end{array}\right]$
- B
$\left[\begin{array}{cc}2 & -4 \\ 10 & 6\end{array}\right]$
- C
$\left[\begin{array}{cc}2 & 4 \\ -10 & 6\end{array}\right]$
- D
AnswerCorrect option: A. $\left[\begin{array}{ll}2 & 3 \\ 3 & 6\end{array}\right]$
View full question & answer→MCQ 2121 Mark
यदि $A=\left[\begin{array}{cc}1 & 2 \\ -1 & -1\end{array}\right]$, तो $A^2-4 I_2=$
- A
$0$
- B
$I$
- C
$5 I_2$
- ✓
$-5 I_2$
AnswerCorrect option: D. $-5 I_2$
View full question & answer→MCQ 2131 Mark
यदि $A=\left[a_{i j}\right]_{m \times n}, B=\left[b_{j k}\right]_{n \times p}$ और $C=\left[c_{k l}\right]_{p \times q}$, तब गुणनफल ABC का क्रम है-
- A
$m \times p$
- B
$p \times q$
- C
$n \times p$
- ✓
$m \times q$
AnswerCorrect option: D. $m \times q$
View full question & answer→MCQ 2141 Mark
यदि $A A^{\prime}=I$, तब $|A|=$
AnswerCorrect option: D. $\pm 1$
View full question & answer→MCQ 2151 Mark
यदि $A^{-1}=\left[\begin{array}{ll}3 & 4 \\ 5 & 6\end{array}\right]$ तब $A=$
- A
$\left[\begin{array}{cc}6 & -4 \\ -5 & 3\end{array}\right]$
- B
$\left[\begin{array}{ll}\frac{1}{3} & \frac{1}{4} \\ \frac{1}{5} & \frac{1}{6}\end{array}\right]$
- ✓
$\left[\begin{array}{cc}-3 & 2 \\ \frac{5}{2} & -\frac{3}{2}\end{array}\right]$
- D
$\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}-3 & 2 \\ \frac{5}{2} & -\frac{3}{2}\end{array}\right]$
View full question & answer→MCQ 2161 Mark
माना कि A क्रम 3 का सममित आव्यूह है तब $A^{-1}$.
View full question & answer→MCQ 2171 Mark
माना $A=\left[\begin{array}{l}1 \\ 0\end{array}\right]$, तब $A A^{\prime}$ है-
AnswerCorrect option: D. $\left[\begin{array}{ll}1 & 0 \\ 0 & 0\end{array}\right]$
View full question & answer→MCQ 2181 Mark
किसी अव्युत्क्रमणीय आव्यूह A के लिए
- ✓
$|A|=0$
- B
$|A| \neq 0$
- C
$|A|=1$
- D
$|A|=2$
AnswerCorrect option: A. $|A|=0$
View full question & answer→MCQ 2191 Mark
किसी 2-पंक्ति वर्ग आव्यूह A, के लिए यदि $A(\operatorname{adj} A)=\left[\begin{array}{ll}8 & 0 \\ 0 & 8\end{array}\right]$, तब $|A|$ का मान है
View full question & answer→MCQ 2201 Mark
एक वर्ग आव्यूह व्युत्क्रमणीय है, यदि
- A
$A \neq 0$
- B
$|A|=0$
- ✓
$|A| \neq 0$
- D
AnswerCorrect option: C. $|A| \neq 0$
View full question & answer→MCQ 2211 Mark
एक वर्ग आव्यूह A सममित है यदि
AnswerCorrect option: A. $A^{\prime}=A$
View full question & answer→MCQ 2221 Mark
एक वर्ग आव्यूह A विषम सममित आव्यूह है यदि
AnswerCorrect option: B. $A^{\prime}=-A$
View full question & answer→MCQ 2231 Mark
एक पंक्ति आव्यूह में होते हैं :
- A
- ✓
एक या अधिक स्तम्भों के साथ एक पंक्ति
- C
एक या अधिक पंक्तियों के साथ एक स्तंभ
- D
AnswerCorrect option: B. एक या अधिक स्तम्भों के साथ एक पंक्ति
View full question & answer→MCQ 2241 Mark
एक पंक्ति आव्यूह का परिवर्त है एक
MCQ 2251 Mark
एक आव्यूह $A=\left[a_j\right]_{(m \times n)}$ की एक स्तंभ आव्यूह कहा जाता है यदि
- A
$m=1$
- ✓
$n=1$
- C
$m=n$
- D
$m < n $
View full question & answer→MCQ 2261 Mark
x का मान निकालें जबकि
$\left[\begin{array}{lll}1 & 1 & x\end{array}\right]\left[\begin{array}{ccc}1 & 1 & 2 \\ 0 & 3 & -1 \\ 0 & 2 & 1\end{array}\right]\left[\begin{array}{l}1 \\ x \\ 1\end{array}\right]=0$
- A
$2, \frac{1}{2}$
- B
$-2, \frac{1}{2}$
- C
$2,-\frac{1}{2}$
- ✓
$-2,-\frac{1}{2}$
AnswerCorrect option: D. $-2,-\frac{1}{2}$
View full question & answer→MCQ 2271 Mark
$\left[\begin{array}{lll}0 & 0 & a \\ 0 & b & 0 \\ c & 0 & 0\end{array}\right]$ का प्रतिलोम है-
- A
$\left[\begin{array}{ccc}0 & 0 & \frac{1}{a} \\ 0 & \frac{1}{b} & 0 \\ \frac{1}{c} & 0 & 0\end{array}\right]$
- ✓
$\left[\begin{array}{ccc}0 & 0 & \frac{1}{c} \\ 0 & \frac{1}{b} & 0 \\ \frac{1}{a} & 0 & 0\end{array}\right]$
- C
$A$
- D
$I$
AnswerCorrect option: B. $\left[\begin{array}{ccc}0 & 0 & \frac{1}{c} \\ 0 & \frac{1}{b} & 0 \\ \frac{1}{a} & 0 & 0\end{array}\right]$
View full question & answer→MCQ 2281 Mark
$\left[\begin{array}{c}1 \\ -1 \\ 2\end{array}\right]\left[\begin{array}{lll}2 & 1 & -1\end{array}\right]=$Q
AnswerCorrect option: C. $\left[\begin{array}{ccc}2 & 1 & -1 \\ -2 & -1 & 1 \\ 4 & 2 & -2\end{array}\right]$
View full question & answer→MCQ 2291 Mark
A क्रम 2 का एक वर्ग मैट्रिक्स है और $A^{-1}$ उसका व्युत्क्रम मैट्रिक्स है $I$ क्रम 2 का इकाई मैट्रिक्स है, तो $A A^{-1}=$
View full question & answer→MCQ 2301 Mark
a का वह मान जिसके लिए समीकरण निकाय $a x+y+z=0, x+a y+z=0, x+y+z=0$ के अशून्य हल होते हैं:
View full question & answer→MCQ 2311 Mark
$2\left[\begin{array}{ll}x & y \\ l & m\end{array}\right]=$
- A
$\left[\begin{array}{cc}2 x & 2 y \\ l & m\end{array}\right]$
- B
$\left[\begin{array}{cc}x & y \\ 2 l & 2 m\end{array}\right]$
- ✓
$\left[\begin{array}{cc}2 x & 2 y \\ 2 l & 2 m\end{array}\right]$
- D
$\left[\begin{array}{cc}2+x & 2+y \\ 2+l & 2+m\end{array}\right]$
AnswerCorrect option: C. $\left[\begin{array}{cc}2 x & 2 y \\ 2 l & 2 m\end{array}\right]$
View full question & answer→