Answer
$\begin{bmatrix}
{5}&{14}\\
{9}&{16}\end{bmatrix}$
Work Step by Step
Since $A$ is a $2 \times 3 $ matrix and $B$ is a $3 \times 2$ matrix, the product $AB$ is defined as a $2 \times 2$ matrix.
$AB=\begin{bmatrix}
{1(1)+2(-1)+3(2)}&{1(2)+2(0)+3(4)} \\
{0(1)+(-1)(-1)+4(2)}&{0(2)+(-1)(0)+4(4)}\end{bmatrix} \\=\begin{bmatrix}
{1-2+6 } &{2+0+12} \\
{0+1+8}&{0+0+16}\end{bmatrix} \\=\begin{bmatrix}
{5}&{14}\\
{9}&{16}\end{bmatrix}$
