Answer
$-54$
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 $D=-1(2\cdot-2-(-3)\cdot1)-3(0\cdot-2-(-3)\cdot5)+1(0\cdot1-2\cdot5)=-1(-1)-3(15)+1(-10)=-54.$
