If A = begin{bmatrix} 1 & -2 5 & 3 end{bmatr | vedclass

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(A) Given the matrix $A = \begin{bmatrix} 1 & -2 \ 5 & 3 \end{bmatrix}$.The transpose of matrix $A$,denoted by $A^T$,is obtained by interchanging its

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$\begin{bmatrix} 2 & 3 \ 3 & 6 \end{bmatrix}$

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(A) Given the matrix $A = \begin{bmatrix} 1 & -2 \ 5 & 3 \end{bmatrix}$.The transpose of matrix $A$,denoted by $A^T$,is obtained by interchanging its rows and columns:$A^T = \begin{bmatrix} 1 & 5 \ -2 & 3 \end{bmatrix}$.Now,we calculate the sum $A + A^T$:$A + A^T = \begin{bmatrix} 1 & -2 \ 5 & 3 \end{bmatrix} + \begin{bmatrix} 1 & 5 \ -2 & 3 \end{bmatrix}$$A + A^T = \begin{bmatrix} 1+1 & -2+5 \ 5+(-2) & 3+3 \end{bmatrix}$$A + A^T = \begin{bmatrix} 2 & 3 \ 3 & 6 \end{bmatrix}$.Thus,the correct option is $A$.

If $A = \begin{bmatrix} 1 & -2 \\ 5 & 3 \end{bmatrix}$,then $A + A^T$ equals:

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