Use Matrices to Solve the System of Equations $\left\{ \begin{array} { l } 2 x + y - 3 z = - 17 \\3 x - y + 2 z = - 2 \\- 2 x - y - z = 1\end{array} \right.$

Multiple Choice

Use matrices to solve the system of equations. $\left\{ \begin{array} { l } 2 x + y - 3 z = - 17 \\3 x - y + 2 z = - 2 \\- 2 x - y - z = 1\end{array} \right.$

A) $( 3 , - 1 , - 4 )$
B) $( - 4,2,4 )$
C) $( - 3,1,4 )$
D) no solution
E) infinitely many solutions