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QUESTION

Evaluate the product $\textbf{AB}$ of the matrices
$$\textbf{A}=\left(\begin{array}{cc}2&amp;-1\\1&amp;2\end{array}\right),
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\textbf{B}=\left(\begin{array}{ccc}0&amp;1&amp;2\\1&amp;3&amp;1\end{array}\right).$$



ANSWER

$\textrm{AB}=\left(\begin{array}{cc}2&amp;-1\\1&amp;2\end{array}\right)
\left(\begin{array}{ccc}0&amp;1&amp;2\\1&amp;3&amp;1\end{array}\right)=
\left(\begin{array}{ccc}0-1&amp;2-3&amp;4-1\\0+2&amp;1+6&amp;2+2\end{array}\right)=
\left(\begin{array}{ccc}-1&amp;-1&amp;3\\2&amp;7&amp;4\end{array}\right)$





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