<exercise checkit-seed="0010" checkit-slug="G2" checkit-title="Determinants">
<statement>
<p>Show how to compute the determinant of the matrix <me>A= \left[\begin{array}{cccc}
3 & 4 & -1 & 0 \\
2 & 6 & -4 & 0 \\
4 & 6 & 6 & -1 \\
-1 & 0 & -2 & -2
\end{array}\right] .</me>.</p>
</statement>
<answer>
<me>\operatorname{det}\ \left[\begin{array}{cccc}
3 & 4 & -1 & 0 \\
2 & 6 & -4 & 0 \\
4 & 6 & 6 & -1 \\
-1 & 0 & -2 & -2
\end{array}\right] = -170 </me>
</answer>
</exercise>