Answer
$\left[\begin{array}{ll}
{5}&{14}\\
{9}&{16}\end{array}\right]$
Work Step by Step
Let $A$ denote an $m$ by $\fbox{$r$}$ matrix and let $B$ denote an $\fbox{$r$}$ by $n$ matrix.
The product $AB$ is defined as the $m$ by $n$ matrix whose entry in row $i,$ column $j$
is the product of the $i$ th row of $A$ and the $j$ th column of $B$ .
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$A$ is a $2$ by $\fbox{$3$}$ matrix and B is a $\fbox{$3$}$ by $2$ matrix.
The product $AB$ is defined, and is a $2$ by $2$ matrix.
$AB==\left[\begin{array}{cc}
{1(1)+2(-1)+3(2)}&{1(2)+2(0)+3(4)}\\
{0(1)+(-1)(-1)+4(2)}&{0(2)+(-1)(0)+4(4)}\end{array}\right]$
$=\left[\begin{array}{ll}
{5}&{14}\\
{9}&{16}\end{array}\right]$
