Answer
$-44$
Work Step by Step
The determinant for a given 3 by 3 matrix can be found as:
$D= \begin{vmatrix} -2 & 4& 1 \\
3 & 0& 2 \\
-1 &0 & 3 \\ \end{vmatrix} \\ =(-4) \left|\begin{array}{ll}
3 & 2\\ -1 & 3 \end{array}\right|+0-0
\\=(-4)(9+2)\\=-44$
