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For the following matrices verify the distributivity of matrix multiplication over matrix addition i.e. \( A(B+C)=A B+A C \).
\[
A=\left[\begin{array}{rr}
2 & -1 \\
1 & 1 \\
-1 & 2
\end{array}\right], \quad B=\left[\begin{array}{ll}
0 & 1 \\
1 & 1
\end{array}\right] \text { and } C=\left[\begin{array}{rr}
1 & -1 \\
0 & 1
\end{array}\right]
\]
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