<exercise checkit-seed="0012" checkit-slug="G2" checkit-title="Determinants">
<statement>
<p>Show how to compute the determinant of the matrix <me>A= \left[\begin{array}{cccc}
6 & 4 & 1 & 0 \\
0 & 1 & 0 & 2 \\
-5 & -4 & -3 & 5 \\
1 & -2 & 6 & 2
\end{array}\right] .</me>.</p>
</statement>
<answer>
<me>\operatorname{det}\ \left[\begin{array}{cccc}
6 & 4 & 1 & 0 \\
0 & 1 & 0 & 2 \\
-5 & -4 & -3 & 5 \\
1 & -2 & 6 & 2
\end{array}\right] = -317 </me>
</answer>
</exercise>