Answer
$$-1$$
Work Step by Step
The determinant $D$ of a $ 2 \times 2$ matrix can be calculated as:
$D=\begin{vmatrix} -1 & 2 & 3 \\
4 & 0 & 3 \\5 &-1 & 2 \\ \end{vmatrix} \\=-2[(4)(2)-(3)(5)]+0+1[(-1)(3)-(3)(4)]\\=-2(8-15)+0+1[-3-12]\\=-2(8-15)-3-12\\=-1$
