Following the definition, we can calculate the product of these two matrices as follows:

$$\begin{bmatrix} 1 & 2 \\\ 3 & 4 \end{bmatrix} \cdot \begin{bmatrix} 5 & 6 \\\ 7 & 8 \end{bmatrix} = $$
$$= \begin{bmatrix} 1 \cdot 5 + 2 \cdot 7 & 1 \cdot 6 + 2 \cdot 8 \\\ 3 \cdot 5 + 4 \cdot 7 & 3 \cdot 6 + 4 \cdot 8 \end{bmatrix} = \begin{bmatrix} 19 & 22 \\\ 43 & 50 \end{bmatrix}$$

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