Answer
$\begin{bmatrix}
{-22}&{29}&{8}&{-1}\\
{-10}&{17}&{6}&{-1}\end{bmatrix}$
Work Step by Step
Since $A$ is a $2 \times 2 $ matrix and $B$ is a $2 \times 4$ matrix, the product $AB$ is defined as a $2 \times 4$ matrix.
$AB=\begin{bmatrix}
(4)(-6)+(1)(2) & (4)(6)+(1)(5) & (4)(1)+(1)(4) & (4)(0)+(1)(-1)\\
(2)(-6)+(1)(2) & (2)(6)+(1)(5) & (2)(1)+(1)(4) & (2)(0)+(1)(-1)
\end{bmatrix}\\=\begin{bmatrix}
-24+2 & 24+5 & 4+4 & 0+(-1)\\
-12+2 & 12+5 & 2+4 & 0+(-1)
\end{bmatrix} \\=\begin{bmatrix}
{-22}&{29}&{8}&{-1}\\
{-10}&{17}&{6}&{-1}\end{bmatrix}$