Answer
$$\begin{pmatrix}17&-20&10\\ 26&82&46\end{pmatrix}$$
Work Step by Step
Finding the product of the matrices, we obtain:
$$\begin{pmatrix}4&-1\\ 1&7\end{pmatrix}\begin{pmatrix}5&-2&4\\ 3&12&6\end{pmatrix} \\ \begin{pmatrix}4\cdot \:5+\left(-1\right)\cdot \:3&4\left(-2\right)+\left(-1\right)\cdot \:12&4\cdot \:4+\left(-1\right)\cdot \:6\\ 1\cdot \:5+7\cdot \:3&1\cdot \left(-2\right)+7\cdot \:12&1\cdot \:4+7\cdot \:6\end{pmatrix} \\ \begin{pmatrix}17&-20&10\\ 26&82&46\end{pmatrix}$$
