Let $A=\begin{bmatrix}1&2\\0&1\end{bmatrix},\; B=\begin{bmatrix}2&-1\\1&3\end{bmatrix},\; C=\begin{bmatrix}0&4\\2&1\end{bmatrix}$ …

Mathematics

Problem

Let

A=\begin{bmatrix}1&2\\0&1\end{bmatrix},\; B=\begin{bmatrix}2&-1\\1&3\end{bmatrix},\; C=\begin{bmatrix}0&4\\2&1\end{bmatrix}

. Calculate

(A+B)C

and

AC+BC

to verify whether they are equal.