$$\left[ \begin{array} { l l } { 1 } & { 2 } \\ { 3 } & { 5 } \end{array} \right] \left[ \begin{array} { l l } { - 5 } & { 2 } \\ { 3 } & { - 1 } \end{array} \right]$$
$\left(\begin{matrix}1&0\\0&1\end{matrix}\right)$
$$\left(\begin{matrix}1&2\\3&5\end{matrix}\right)\left(\begin{matrix}-5&2\\3&-1\end{matrix}\right)$$
$$\left(\begin{matrix}-5+2\times 3&\\&\end{matrix}\right)$$
$$\left(\begin{matrix}-5+2\times 3&2+2\left(-1\right)\\3\left(-5\right)+5\times 3&3\times 2+5\left(-1\right)\end{matrix}\right)$$
$$\left(\begin{matrix}-5+6&2-2\\-15+15&6-5\end{matrix}\right)$$
$$\left(\begin{matrix}1&0\\0&1\end{matrix}\right)$$
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