Answer
$23$
Work Step by Step
We know that for a matrix
\[
\left[\begin{array}{rrr}
a & b & c \\
d &e & f \\
g &h & i \\
\end{array} \right]
\]
the determinant, $D=a(ei-fh)-b(di-fg)+c(dh-eg).$
Hence here $D=0(0\cdot5-(-4)\cdot0)-1((-7)\cdot5-(-4)\cdot3)+(-2)((-7)\cdot0-0\cdot3)=0(0)-1(-23)+(-2)(0)=23$