MCQ 11 Mark
If $A =\left[\begin{array}{ll}x & 3 \\ y & 3\end{array}\right]$ and $A ^2=3 I$, where $I =\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]$ the order of $A ^2$ is :
- A
$2 \times 2$
- B
$2 \times 3$
- C
$1 \times 2$
- D
$3 \times 2$
View full question & answer→MCQ 21 Mark
If $A=\left[\begin{array}{cc}2 & 0 \\ -3 & 1\end{array}\right], B=\left[\begin{array}{cc}0 & 1 \\ -2 & 3\end{array}\right]$, then the matrix $B A$ is :
- A
$\left[\begin{array}{cc}-3 & 1 \\ -13 & 3\end{array}\right]$
- B
$\left[\begin{array}{ll}-4 & 5 \\ -2 & 7\end{array}\right]$
- C
$\left[\begin{array}{cc}-3 & 2 \\ 5 & -7\end{array}\right]$
- D
$\left[\begin{array}{cc}4 & -1 \\ 2 & 19\end{array}\right]$
View full question & answer→MCQ 31 Mark
If $A =\left[\begin{array}{ll}1 & 2 \\ 3 & 3\end{array}\right], B =\left[\begin{array}{ll}x & 0 \\ 0 & y\end{array}\right]$, then the order of the matrix BA is :
- A
$1 \times 2$
- B
$2 \times 1$
- C
$2 \times 3$
- D
$2 \times 2$
View full question & answer→MCQ 41 Mark
If $A=\left[\begin{array}{cc}2 & 1 \\ -1 & 4\end{array}\right], B=\left[\begin{array}{cc}5 & -1 \\ 2 & -1\end{array}\right]$, then $A^T-B^T$ is equal to :
- A
$\left[\begin{array}{cc}1 & -1 \\ 4 & 2\end{array}\right]$
- B
$\left[\begin{array}{cc}7 & -1 \\ 2 & 5\end{array}\right]$
- C
$\left[\begin{array}{cc}-3 & -1 \\ 2 & 4\end{array}\right]$
- D
$\left[\begin{array}{cc}-3 & -3 \\ 2 & 5\end{array}\right]$
View full question & answer→MCQ 51 Mark
If $A=\left[\begin{array}{cc}-2 & 3 \\ 4 & 5\end{array}\right], B=\left[\begin{array}{cc}5 & 2 \\ -7 & 3\end{array}\right]$, then transpose of matrix $(A+B)$ is :
- A
$\left[\begin{array}{cc}3 & 5 \\ -3 & 8\end{array}\right]$
- B
$\left[\begin{array}{cc}3 & -3 \\ 5 & 8\end{array}\right]$
- C
$\left[\begin{array}{cc}3 & 8 \\ -3 & 5\end{array}\right]$
- D
$\left[\begin{array}{cc}3 & 5 \\ -8 & 3\end{array}\right]$
View full question & answer→MCQ 61 Mark
If $M =[1,-2], N =\left[\begin{array}{cc}2 & 1 \\ -1 & 2\end{array}\right]$, then the order of MN is :
- A
$1 \times 2$
- B
$2 \times 1$
- C
$1 \times 1$
- D
$2 \times 2$
View full question & answer→MCQ 71 Mark
If $A=\left[\begin{array}{cc}2 & 5 \\ -3 & 7\end{array}\right], B=\left[\begin{array}{cc}1 & -3 \\ 2 & 5\end{array}\right]$, then $B-A$ is equal to :
- A
$\left[\begin{array}{ll}4 & -1 \\ 6 & -2\end{array}\right]$
- B
$\left[\begin{array}{cc}-1 & -8 \\ 5 & -2\end{array}\right]$
- C
$\left[\begin{array}{cc}-1 & 8 \\ 5 & 4\end{array}\right]$
- D
$\left[\begin{array}{cc}-2 & 4 \\ -1 & -2\end{array}\right]$
View full question & answer→MCQ 81 Mark
If $A=\left[\begin{array}{cc}3 & -4 \\ 5 & 6\end{array}\right], B=\left[\begin{array}{cc}-1 & 2 \\ 5 & 7\end{array}\right]$, then the order of $3 A-2 B$ is :
- A
$2 \times 1$
- B
$4 \times 4$
- C
$1 \times 2$
- D
$2 \times 2$
View full question & answer→MCQ 91 Mark
If $A =\left[\begin{array}{ll}2 & 5 \\ 1 & 3\end{array}\right], B =\left[\begin{array}{cc}1 & -1 \\ -3 & 2\end{array}\right]$, then AB is equal to :
- A
$\left[\begin{array}{cc}-13 & 5 \\ 1 & 8\end{array}\right]$
- B
$\left[\begin{array}{cc}8 & -1 \\ 5 & 2\end{array}\right]$
- C
$\left[\begin{array}{cc}-13 & 8 \\ -8 & 5\end{array}\right]$
- D
$\left[\begin{array}{cc}-1 & 0 \\ 7 & -2\end{array}\right]$
View full question & answer→MCQ 101 Mark
If $A=\left[\begin{array}{cc}2 & -4 \\ 0 & 1\end{array}\right], B=\left[\begin{array}{cc}1 & -1 \\ 0 & 5\end{array}\right]$, then the value of $B+A$ is :
- A
$\left[\begin{array}{cc}3 & -5 \\ 0 & 6\end{array}\right]$
- B
$\left[\begin{array}{cc}6 & 2 \\ -1 & 4\end{array}\right]$
- C
$\left[\begin{array}{cc}1 & -2 \\ -4 & 1\end{array}\right]$
- D
$\left[\begin{array}{cc}-3 & 5 \\ 0 & -6\end{array}\right]$
View full question & answer→MCQ 111 Mark
The order of matrix A is $2 \times 3$ and that of B is $3 \times 1$.
- A
AB is possible, but BA is not possible
- B
BA is possible but AB is not possible
- C
AB as well as BA are not possible
- D
AB as well as BA are possible
View full question & answer→MCQ 121 Mark
The transpose of matrix $\left[\begin{array}{ccc}2 & -1 & 4 \\ 1 & 7 & 3 \\ -4 & 1 & 5\end{array}\right]$ is :
- A
$\left[\begin{array}{ccc}2 & 1 & 4 \\ -1 & 1 & 5 \\ 4 & 7 & 3\end{array}\right]$
- B
$\left[\begin{array}{ccc}2 & 4 & -1 \\ 1 & 3 & 7 \\ -4 & 5 & 1\end{array}\right]$
- C
$\left[\begin{array}{ccc}-1 & 4 & 2 \\ 7 & 3 & 1 \\ 1 & 5 & -4\end{array}\right]$
- D
$\left[\begin{array}{ccc}2 & 1 & -4 \\ -1 & 7 & 1 \\ 4 & 3 & 5\end{array}\right]$
View full question & answer→MCQ 131 Mark
$\left[\begin{array}{lll}1& 8 & 9\end{array}\right]$ is a :
View full question & answer→MCQ 141 Mark
- A
- B
every diagonal element is 0
- C
every non-diagonal element is 0
- D
View full question & answer→MCQ 151 Mark
Which of the following is a diagonal matrix ?
- A
$\left[\begin{array}{lll}0 & 6 & 1 \\ 2 & 0 & 4 \\ 1 & 8 & 0\end{array}\right]$
- B
$\left[\begin{array}{ccc}2 & 0 & 0 \\ 0 & -1 & 0 \\ 0 & 0 & -2\end{array}\right]$
- C
$\left[\begin{array}{ccc}4 & 0 & 0 \\ 0 & -2 & 0\end{array}\right]$
- D
$\left[\begin{array}{lll}1 & 0 & 0 \\ 0 & 1 & 1 \\ 0 & 0 & 1\end{array}\right]$
View full question & answer→MCQ 161 Mark
Order of matrix A is $2 \times 3$ and the order of matrix B is $3 \times 1$. The order of the matrix AB is:
- A
$2 \times 1$
- B
$1 \times 2$
- C
$3 \times 1$
- D
$2 \times 3$
View full question & answer→MCQ 171 Mark
If $3\left[\begin{array}{ll}4 & x\end{array}\right]+2\left[\begin{array}{ll}y & -3\end{array}\right]=\left[\begin{array}{ll}10 & 0\end{array}\right]$, then :
- A
$x=1, y=0$
- B
$x=-1, y=-2$
- C
$x=2, y=-1$
- D
$x=-2, y=1$
View full question & answer→MCQ 181 Mark
If $A=\left[\begin{array}{cc}4 & -2 \\ 5 & 7\end{array}\right], B =\left[\begin{array}{cc}3 & 5 \\ -4 & -2\end{array}\right], C =\left[\begin{array}{cc}1 & 3 \\ -2 & 4\end{array}\right]$, then the value of $A + B - C$ is :
- A
$\left[\begin{array}{ll}6 & 1 \\ 3 & 0\end{array}\right]$
- B
$\left[\begin{array}{ll}6 & 0 \\ 3 & 1\end{array}\right]$
- C
$\left[\begin{array}{ll}6 & 3 \\ 0 & 1\end{array}\right]$
- D
$\left[\begin{array}{ll}6 & 6 \\ 3 & 1\end{array}\right]$
View full question & answer→MCQ 191 Mark
The order of a matrix is $2 \times 3$. It has :
View full question & answer→MCQ 201 Mark
Which of the following is a row matrix ?
- A
matrix P of order $2 \times 2$
- B
matrix Q of order $1 \times 2$
- C
matrix R of order $2 \times 1$
- D
matrix S of order $3 \times 2$
View full question & answer→