What is bmatrix 3 & -1 \\ 2 & 5 bmatrix + bmatrix 4 & 6 \\ -3 & 1 bmatrix?

Add corresponding entries: $3+4=7$, $-1+6=5$, $2+(-3)=-1$, and $5+1=6$. The result is $\begin{bmatrix}7&5\\-1&6\end{bmatrix}$, choice F. Choice G has $7$ in the top right, which comes from adding $|-1|+6$ and losing the sign of the $-1$. Choice H has the wrong entries throughout; it looks like the result of subtracting the first matrix from the second, which is a different operation. Choice J multiplies or otherwise combines entries incorrectly instead of adding them. Matrix addition always combines the entries in the same position of each matrix.