<exercise checkit-seed="0008" checkit-slug="G2" checkit-title="Determinants">
<statement>
<p>Show how to compute the determinant of the matrix <me>A= \left[\begin{array}{cccc}
2 & 3 & 5 & -6 \\
6 & -2 & 1 & 3 \\
2 & 0 & 0 & 0 \\
-2 & -1 & -3 & -4
\end{array}\right] .</me>.</p>
</statement>
<answer>
<me>\operatorname{det}\ \left[\begin{array}{cccc}
2 & 3 & 5 & -6 \\
6 & -2 & 1 & 3 \\
2 & 0 & 0 & 0 \\
-2 & -1 & -3 & -4
\end{array}\right] = -164 </me>
</answer>
</exercise>