[tex]\begin{vmatrix}3 & 3 & 1\\-2 & 0 & -2\\-2 & 4& -3\end{vmatrix}\\\\\\\\= 3 \begin{vmatrix} 0 & -2 \\ 4 & -3 \end{vmatrix} - 3 \begin{vmatrix} -2 & -2 \\ -2 & -3 \end{vmatrix} + \begin{vmatrix} -2 & 0 \\ -2 & 4 \end{vmatrix}\\\\\\=3\left[0(-3) -(-2)4\right] - 3\left[(-2)(-3) -(-2)(-2)\right] + [-2(4) - 0(-2)]\\\\=3(0+8) -3(6-4) -8\\\\=3(8) - 3(2) -8 \\\\=24-6 -8 \\\\=10[/tex]
