## Algebra 2 (1st Edition)

$-75.$
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 $D=2(-3\cdot6-2\cdot4)-0(5\cdot6-2\cdot1)-1(5\cdot4-(-3)\cdot1)=2(-26)-0(28)-1(23)=-75.$