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]$.

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