Take A=[1021],  B=[0132],  C=[2011]A=\begin{bmatrix}1&0\\2&1\end{bmatrix},\; B=\begin{bmatrix}0&1\\3&2\end{bmatrix},\; C=\begin{bmatrix}2&0\\1&1\end{bmatrix}…

Mathematics

Problem

Take A=[1021],  B=[0132],  C=[2011]A=\begin{bmatrix}1&0\\2&1\end{bmatrix},\; B=\begin{bmatrix}0&1\\3&2\end{bmatrix},\; C=\begin{bmatrix}2&0\\1&1\end{bmatrix}. Compute A(BC)A(BC) and (AB)C(AB)C and comment on their equality.

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