Answer
$\left| \begin{matrix}
3 & 1 & 0 \\
-3 & 4 & 0 \\
-1 & 3 & -5 \\
\end{matrix} \right|=-75$
Work Step by Step
Expand with ${{C}_{3}}$
$\begin{align}
& \left| \begin{matrix}
3 & 1 & 0 \\
-3 & 4 & 0 \\
-1 & 3 & -5 \\
\end{matrix} \right|=-5\left( 12-\left( -3 \right) \right) \\
& =-5\left( 15 \right) \\
& =-75
\end{align}$
