Answer
$-206$
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 is $D=a(ei-fh)-b(di-fg)+c(dh-eg).$
Hence here $D=-1(2\cdot1-(-5)\cdot0)-12(0\cdot1-(-5)\cdot3)+4(0\cdot0-2\cdot3)=-1(2)-12(15)+4(-6)=-206.$
