Solve the System by Using the Inverse of the Coefficient $$\begin{array} { l } x - 2 y + 3 z = 11 \\4 x + y - z = 4 \\2 x - y + 3 z = 10\end{array}$$

Multiple Choice

Solve the system by using the inverse of the coefficient matrix.
- $$\begin{array} { l } x - 2 y + 3 z = 11 \\4 x + y - z = 4 \\2 x - y + 3 z = 10\end{array}$$

A) $\{ ( 2,3,5 ) \}$
B) $\varnothing$
C) $\{ ( 2 , - 3,1 ) \}$
D) $\{ ( - 2 , - 3,3 ) \}$