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For the following matrices verify the associativity of matrix multiplication i.e.
\[
\begin{aligned}
(A B) C & =A(B C) . \\
A & =\left[\begin{array}{rrr}
1 & 2 & 0 \\
-1 & 0 & 1
\end{array}\right], \quad B=\left[\begin{array}{rr}
1 & 0 \\
-1 & 2 \\
0 & 3
\end{array}\right] \text { and } C=\left[\begin{array}{r}
1 \\
-1
\end{array}\right]
\end{aligned}
\]
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