Answer
$\left| \begin{matrix}
2 & -4 & 2 \\
-1 & 0 & 5 \\
3 & 0 & 4 \\
\end{matrix} \right|=-76$
Work Step by Step
Expand with ${{C}_{2}}$
$\begin{align}
& \left| \begin{matrix}
2 & -4 & 2 \\
-1 & 0 & 5 \\
3 & 0 & 4 \\
\end{matrix} \right|=4\left( -4-15 \right) \\
& =4\left( -19 \right) \\
& =-76
\end{align}$
