<exercise checkit-seed="0001" checkit-slug="M4" checkit-title="Finding a matrix inverse">
<statement>
<p>Show how to find the inverse of the matrix <m>M= \left[\begin{array}{cccc}
3 & 2 & -4 & 2 \\
-2 & -1 & 1 & -4 \\
-1 & -1 & 4 & 3 \\
-2 & -1 & 2 & -2
\end{array}\right] </m>.</p>
</statement>
<answer>
<me>M^{-1}= \left[\begin{array}{cccc}
1 & 4 & 2 & -4 \\
4 & 2 & 2 & 3 \\
2 & 3 & 2 & -1 \\
-1 & -2 & -1 & 1
\end{array}\right] </me>
</answer>
</exercise>