Solve the System of Linear Equations Using Matrices $$\left\{ \begin{aligned}3 x - 9 y + 4 z & = - 32 \\- 9 x + 27 y - 12 z & = 96 \\9 x - 27 y + 12 z & = - 96\end{aligned} \right.$$

Multiple Choice

Solve the system of linear equations using matrices.
- $$\left\{ \begin{aligned}3 x - 9 y + 4 z & = - 32 \\- 9 x + 27 y - 12 z & = 96 \\9 x - 27 y + 12 z & = - 96\end{aligned} \right.$$

A) $\{ ( x , y , z ) \mid 9 x - 27 y + 12 z = - 32 \}$
B) $( - 1,1 , - 5 )$
C) $\{ ( x , y , z ) \mid 3 x - 9 y + 4 z = - 32 \}$
D) $\varnothing$