<exercise checkit-seed="0008" checkit-slug="M4" checkit-title="Finding a matrix inverse">
<statement>
<p>Show how to find the inverse of the matrix <m>Q= \left[\begin{array}{cccc}
-2 & 5 & 1 & 8 \\
-1 & 2 & 6 & 5 \\
-2 & 1 & 1 & 7 \\
1 & -2 & -1 & -4
\end{array}\right] </m>.</p>
</statement>
<answer>
<me>Q^{-1}= \left[\begin{array}{cccc}
-49 & -13 & -17 & -144 \\
4 & 1 & 1 & 11 \\
3 & 1 & 1 & 9 \\
-15 & -4 & -5 & -44
\end{array}\right] </me>
</answer>
</exercise>