Answer
See below
Work Step by Step
Given $$ A=\begin{bmatrix}
0 & 0 & 0 & 8 & 4\\
0 & 0 & 0 & -1 & 1\\
0 & 0 & 2 & 0 & 0\\
2 & -3 & 0 & 0 & 0\\
4 & -2 & 0 & 0& 0
\end{bmatrix}$$
So, we get
$det (A)=\begin{vmatrix}
0 & 0 & 0 & 8 & 4\\
0 & 0 & 0 & -1 & 1\\
0 & 0 & 2 & 0 & 0\\
2 & -3 & 0 & 0 & 0\\
4 & -2 & 0 & 0& 0
\end{vmatrix}\\
=\begin{vmatrix}
0 & 8 & 4 \\ 0 & -1 & 1 \\ 2 & 0 & 0
\end{vmatrix}.\begin{vmatrix}
2 & -3 \\ 4 & -2
\end{vmatrix}\\
=2.(8.1-4.(-1)).(2.(-2)-(-3).4)\\
=2.(8+4).(-4+12)\\
=2.12.8\\
=192$
