Answer
$-10.$
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 $D=3(0\cdot5-(-3)\cdot2)-4((-1)\cdot5-(-3)\cdot4)+0((-1)\cdot2-0\cdot4)=3(6)-4(7)+0(-2)=-10.$