Use Matrix Inversion to Solve the Given System of Linear $\begin{aligned}2 x - 3 y - 2 z & = 5 \\- z & = 1 \\x - 2 y + 2 z & = - 9\end{aligned}$

Multiple Choice

Use matrix inversion to solve the given system of linear equations. $\begin{aligned}2 x - 3 y - 2 z & = 5 \\- z & = 1 \\x - 2 y + 2 z & = - 9\end{aligned}$

A) $x = 29$ , $y = 16$ , $z = - 1$
B) $x = 26$ , $y = 17$ , $z = 1$
C) $x = 27$ , $y = 19$ , $z = 1$
D) $x = 27$ , $y = 17$ , $z = - 1$
E) The system is inconsistent.