Answer
$-75$
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 $D=3(4\cdot(-5)-0\cdot3)-1((-3)\cdot(-5)-0\cdot(-0))+0((-3)\cdot3-4\cdot(-1))=3(-20)-1(15)+0(-5)=-75.$
