Answer
$\begin{bmatrix}-13&1\\-21&9\\25&-13\end{bmatrix}$
Work Step by Step
We are given the matrices:
$$A=\begin{bmatrix}-1&2\\-3&0\\4&1\end{bmatrix},\text{ }B=\begin{bmatrix}3&2\\-2&-1\end{bmatrix}, \text{ }C=\begin{bmatrix}-4&5\\1&0\end{bmatrix}.$$
Calculate $AB-AC$:
$$\begin{align*}
A&B-AC\\
&=\begin{bmatrix}-1&2\\-3&0\\4&1\end{bmatrix}\cdot\begin{bmatrix}3&2\\-2&-1\end{bmatrix}-\begin{bmatrix}-1&2\\-3&0\\4&1\end{bmatrix}\cdot \begin{bmatrix}-4&5\\1&0\end{bmatrix}\\
&=\begin{bmatrix}-7&-4\\-9&-6\\10&7\end{bmatrix}-\begin{bmatrix}6&-5\\12&-15\\-15&20\end{bmatrix}\\
&=\begin{bmatrix}-13&1\\-21&9\\25&-13\end{bmatrix}.
\end{align*}$$
