If A = [ * 20 c 1& - 2 5&3 ], then A + A^T equals - Vidyadip

MCQ

If $A = \left[ {\begin{array}{*{20}{c}}1&{ - 2}\\5&3\end{array}} \right]$, then $A + {A^T}$equals

✓
$\left[ {\begin{array}{*{20}{c}}2&3\\3&6\end{array}} \right]$
B
$\left[ {\begin{array}{*{20}{c}}2&{ - 4}\\{10}&6\end{array}} \right]$
C
$\left[ {\begin{array}{*{20}{c}}2&4\\{ - 10}&6\end{array}} \right]$
D
None of these

✓

Answer

Correct option: A.

$\left[ {\begin{array}{*{20}{c}}2&3\\3&6\end{array}} \right]$

a
(a) $A = \left[ {\begin{array}{*{20}{c}}1&{ - 2}\\5&3\end{array}} \right],\,$${A^T} = \left[ {\begin{array}{*{20}{c}}1&5\\{ - 2}&3\end{array}} \right],\,A + {A^T} = \left[ {\begin{array}{*{20}{c}}2&3\\3&6\end{array}} \right]$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q (1 Marks)" from STD 12 - 3 and 4 . determinant and metrices→STD 12 - 3 and 4 . determinant and metrices — all question types→Mathematics STD 12 Science question papers→CBSE Board STD 12 Science question papers→CBSE Board question paper generator→

Similar questions

What is the magnitude of vector -3i + 5j:

Let $\quad \overrightarrow{ a }=\alpha \hat{ i }+3 \hat{ j }-\hat{ k }, \overrightarrow{ b }=3 \hat{ i }-\beta \hat{ j }+4 \hat{ k } \quad$ and $\overrightarrow{ c }=\hat{ i }+2 \hat{ j }-2 \hat{ k }$ where $\alpha, \beta \in R$, be three vectors. If the projection of $\vec{a}$ on $\vec{c}$ is $\frac{10}{3}$ and $\overrightarrow{ b } \times \overrightarrow{ c }=-6 \hat{ i }+10 \hat{ j }+7 \hat{ k }$, then the value of $\alpha+\beta$ equal to

Corner points of the feasible region for an $\operatorname{LPP}$ are $(0,2),(3,0),(6,0),(6,8)$ and $(0,5)$ Let $F=4 x+6 y$ be the objective function. The Minimum value of $F$ occurs at $....$

If $x = \frac{{1 + t}}{{{t^3}}},y = \frac{3}{{2{t^2}}} + \frac{2}{t},$ then $x{\left( {\frac{{dy}}{{dx}}} \right)^3} - \frac{{dy}}{{dx}}$ is equal to (where $t$ is a real parameter)

If the vectors $2i - 3j + 4k,\,\,i + 2j - k$ and $xi - j + 2k$ are coplanar, then $x = $

If $A=\left[\tan \left(\frac{\theta}{2}\right)^{-\tan \left(\frac{\theta}{2}\right)}{0}\right]$ and $\left( I _{2}+ A \right)\left( I _{2}- A \right)^{-1}=\left[\begin{array}{ll} a & - b \\ b & a \end{array}\right],$ then $13\left( a ^{2}+ b ^{2}\right)$ is equal to ...........

If in the determinant $\Delta = \left| {\begin{array}{*{20}{c}}{{a_1}}&{{b_1}}&{{c_1}}\\{{a_2}}&{{b_2}}&{{c_2}}\\{{a_3}}&{{b_3}}&{{c_3}}\end{array}} \right|$, ${A_1},{B_1},{C_1}$ $etc$. be the co-factors of ${a_1},{b_1},{c_1}$etc., then which of the following relations is incorrect

The domain of the function $f(x)=\sin ^{-1}\left(\frac{|x|+5}{x^{2}+1}\right)$ is $(-\infty,-\mathrm{a}] \cup[\mathrm{a}, \infty) .$ Then $a$ is equal to

Let $\text{f(x)}=\begin{vmatrix}\cos\text{x}&\text{x}&1\\2\sin\text{x}&\text{x}&2\text{x}\\\sin\text{x}&\text{x}&\text{x}\end{vmatrix},$ then $\lim_\limits{\text{x}\rightarrow0}\frac{\text{f(x)}}{\text{x}^2}$ is equal to:

The area bounded by $\text{f(x)}=\text{x}^2,0\leq\text{x}\leq1,\text{g(x)}=\text{x}+2,1\leq\text{x}\leq2$ and $x –$ axis is: