Find A + AT
Given:
\[ A = \begin{bmatrix} 2 & 3 \\ 5 & 7 \end{bmatrix} \]
Step 1: Find AT
\[ A^T = \begin{bmatrix} 2 & 5 \\ 3 & 7 \end{bmatrix} \]
Step 2: Compute A + AT
\[ A + A^T = \begin{bmatrix} 2 & 3 \\ 5 & 7 \end{bmatrix} + \begin{bmatrix} 2 & 5 \\ 3 & 7 \end{bmatrix} = \begin{bmatrix} 4 & 8 \\ 8 & 14 \end{bmatrix} \]
Final Answer:
\[ A + A^T = \begin{bmatrix} 4 & 8 \\ 8 & 14 \end{bmatrix} \]