第16章 16.17

$\begin{vmatrix} 2 & 3 & 1 \\ 4 & 1 & -3 \\ -1 & 2 & 2 \end{vmatrix} = 4 + 8 + 9 + 1 + 12 - 24 = 10$

$x = \frac{1}{10}\begin{vmatrix} -4 & 3 & 1 \\ 2 & 1 & -3 \\ -6 & 2 & 2 \end{vmatrix} = \frac{1}{10}(-8 + 4 + 54 + 6 - 24 - 12) = \frac{1}{10} \cdot 20 = 2$

$y = \frac{1}{10}\begin{vmatrix} 2 & -4 & 1 \\ 4 & 2 & -3 \\ -1 & -6 & 2 \end{vmatrix} = \frac{1}{10}(8 - 24 - 12 + 2 - 36 + 32) = \frac{1}{10} \cdot (-30) = -3$

$z = \frac{1}{10}\begin{vmatrix} 2 & 3 & -4 \\ 4 & 1 & 2 \\ -1 & 2 & -6 \end{vmatrix} = \frac{1}{10}(-12 - 32 - 6 - 4 - 8 + 72) = \frac{1}{10} \cdot 10 = 1$