Answer
$\begin{bmatrix}
28 & -9\\
4 & 23
\end{bmatrix}$
Work Step by Step
Since, matrix $A$ is a $ 2 \times 3$ matrices and matrix $C$ is a $3 \times 2$ , we know that $AC$, is defined.
Multiply to obtain:
$AC=\begin{bmatrix}
0 & 3 & -5\\
1 & 2 & 6
\end{bmatrix} \begin{bmatrix}
4 & 1\\
6 & 2\\
-2 & 3
\end{bmatrix} \\=\begin{bmatrix}
{0(4)+3(6)+(-5)(-2)}&{0(1)+3(2)+(-5)(3)}\\
{1(4)+2(6)+6(-2)}&{1(1)+2(2)+6(3)}\end{bmatrix}\\=\begin{bmatrix}
28 & -9\\
4 & 23
\end{bmatrix}$
