Answer
$$0$$
Work Step by Step
The determinant $D$ of a $ 2 \times 2$ matrix can be calculated as:
$D=\begin{vmatrix} -3 & 2 & 7 \\
6 & -4 & -14 \\ 7 &1 & 4 \\ \end{vmatrix} \\=-3(-16+14)-2(24+98)+7(6+28)\\=6-244+238\\=244-244\\=0$
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