$$[\begin{matrix}3&4\\ -1&-2\end{matrix}][\begin{matrix}-1\\ 2\end{matrix}]$$
$\left(\begin{matrix}5\\-3\end{matrix}\right)$
$$\left(\begin{matrix}3&4\\-1&-2\end{matrix}\right)\left(\begin{matrix}-1\\2\end{matrix}\right)$$
$$\left(\begin{matrix}3\left(-1\right)+4\times 2\\\end{matrix}\right)$$
$$\left(\begin{matrix}3\left(-1\right)+4\times 2\\-\left(-1\right)-2\times 2\end{matrix}\right)$$
$$\left(\begin{matrix}-3+8\\1-4\end{matrix}\right)$$
$$\left(\begin{matrix}5\\-3\end{matrix}\right)$$
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$\left(\begin{matrix}5&-3\end{matrix}\right)$
