Following the definition, the sum of two matrices is a matrix of element-wise sums of matrix elements:

$$\begin{bmatrix} 1 & 2 \\\ 3 & 4 \end{bmatrix} + \begin{bmatrix} 5 & 6 \\\ 7 & 8 \end{bmatrix} = $$
$$= \begin{bmatrix} 1 + 5 & 2 + 6 \\\ 3 + 7 & 4 + 8 \end{bmatrix} = \begin{bmatrix} 6 & 8 \\\ 10 & 12 \end{bmatrix}$$

@[solution]({"id": "linear_algebra__addition_solution", "codePath": "Solution.qs"})
