Answer
$-844$
Work Step by Step
Use the determinant formula with expansion from the first row, we have
$\begin{vmatrix} 2 & 0 & 8 \\ -1 & 7 & 9 \\ 12 & 5 & -3 \end{vmatrix}=2((7)(-3)-(5)(9))-0+8((-1)(5)-(12)(7))=-844$
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