\begin{exercise}{G2}{Determinants}{0008}
\begin{exerciseStatement}
Show how to compute the determinant of the matrix \[A= \left[\begin{array}{cccc}
2 & 3 & 5 & -6 \\
6 & -2 & 1 & 3 \\
2 & 0 & 0 & 0 \\
-2 & -1 & -3 & -4
\end{array}\right] .\].
\end{exerciseStatement}
\begin{exerciseAnswer}\[\operatorname{det}\ \left[\begin{array}{cccc}
2 & 3 & 5 & -6 \\
6 & -2 & 1 & 3 \\
2 & 0 & 0 & 0 \\
-2 & -1 & -3 & -4
\end{array}\right] = -164 \]\end{exerciseAnswer}
\end{exercise}