Answer
$-2$
Work Step by Step
The determinant for a 3 by 3 matrix can be computed as: $Determinant (D)= \begin{vmatrix} a & b \\
c & d \\ \end{vmatrix}=ad-bc$
Therefore, $D=(-3)(2) -(4)(-1) \\=-6+4 \\=-2$
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