Answer
$$\begin {bmatrix} -1&9&-8 \\ 4& 0&6 \end {bmatrix}$$
Work Step by Step
In order to add two matrices they must have same dimensions.
Since, the given matrices have same dimensions, they can be added.
Adding the given matrices to obtain:
$\begin {bmatrix} 1&2&-5 \\ 3& -2&1 \end {bmatrix} + \begin {bmatrix} -2&7&-3 \\ 1& 2&5 \end {bmatrix} \\=\begin {bmatrix} 1 +(-2)&2+7&-5+(-3) \\ 3+1& -2+2&1+5 \end {bmatrix} \\=\begin {bmatrix} -1&9&-8 \\ 4& 0&6 \end {bmatrix}$
