\begin{exercise}{G2}{Determinants}{0003}
\begin{exerciseStatement}
Show how to compute the determinant of the matrix \[A= \left[\begin{array}{cccc}
4 & 3 & -2 & -5 \\
2 & -1 & 6 & 0 \\
0 & 0 & 1 & -3 \\
3 & 5 & 5 & -2
\end{array}\right] .\].
\end{exerciseStatement}
\begin{exerciseAnswer}\[\operatorname{det}\ \left[\begin{array}{cccc}
4 & 3 & -2 & -5 \\
2 & -1 & 6 & 0 \\
0 & 0 & 1 & -3 \\
3 & 5 & 5 & -2
\end{array}\right] = -471 \]\end{exerciseAnswer}
\end{exercise}