Show how to compute the determinant of the matrix
\[A= \left[\begin{array}{cccc} 3 & 2 & 3 & -5 \\ 3 & -6 & 4 & 0 \\ -5 & -4 & -2 & 4 \\ 0 & -3 & 0 & 1 \end{array}\right] .\]
.Answer:
\[\operatorname{det}\ \left[\begin{array}{cccc} 3 & 2 & 3 & -5 \\ 3 & -6 & 4 & 0 \\ -5 & -4 & -2 & 4 \\ 0 & -3 & 0 & 1 \end{array}\right] = 104 \]