Use Matrices to Solve the System of Equations $\left\{ \begin{array} { l } 3 x + y - 3 z = 2 \\x - 2 y + 4 z = 9 \\x + y + z = 12\end{array} \right.$

Multiple Choice

Use matrices to solve the system of equations. $\left\{ \begin{array} { l } 3 x + y - 3 z = 2 \\x - 2 y + 4 z = 9 \\x + y + z = 12\end{array} \right.$

A) $( 3,5,4 )$
B) $( 4,6,4 )$
C) $( - 3 , - 5 , - 4 )$
D) no solution
E) infinitely many solutions