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