Question
Let $\text{A} = \begin{bmatrix}2&4\\3&2\end{bmatrix}, \text{B} = \begin{bmatrix}1&3\\-2&5\end{bmatrix},\text{C} = \begin{bmatrix}-2&5\\3&4\end{bmatrix}.$Find each of the following:
$\text{BA}$

Answer

$\text {BA}=\begin{bmatrix}1&3\\-2&5 \end{bmatrix}\begin{bmatrix}2&4\\3&2\end{bmatrix}=\begin{bmatrix}1(2)+3(3)& 1(4)+3(2)\\ (-2)2+5(3)&(-2)4+5(2) \end{bmatrix}=\begin{bmatrix}11&10\\11&2\end{bmatrix} $

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