Use Matrix Inversion to Solve the System of Linear Equations $\begin{aligned}2 x + 3 y - 2 z & = - 11 \\x + y + z & = 5 \\x + 2 y - z & = - 4\end{aligned}$

Multiple Choice

Use matrix inversion to solve the system of linear equations. $\begin{aligned}2 x + 3 y - 2 z & = - 11 \\x + y + z & = 5 \\x + 2 y - z & = - 4\end{aligned}$

A) $x = - 3$ , $y = 3$ , $z = 6$
B) $x = - 2$ , $y = 3$ , $z = 6$
C) $x = - 2$ , $y = 3$ , $z = 7$
D) $x = - 4$ , $y = 3$ , $z = 6$
E) $x = - 3$ , $y = 3$ , $z = 7$