\begin{exercise}{G2}{Determinants}{0004}
\begin{exerciseStatement}
Show how to compute the determinant of the matrix \[A= \left[\begin{array}{cccc}
3 & -5 & -6 & 0 \\
-2 & -2 & -4 & 0 \\
-2 & -6 & 4 & 0 \\
2 & -3 & 3 & 2
\end{array}\right] .\].
\end{exerciseStatement}
\begin{exerciseAnswer}\[\operatorname{det}\ \left[\begin{array}{cccc}
3 & -5 & -6 & 0 \\
-2 & -2 & -4 & 0 \\
-2 & -6 & 4 & 0 \\
2 & -3 & 3 & 2
\end{array}\right] = -448 \]\end{exerciseAnswer}
\end{exercise}