Solve the System by Using the Inverse of the Coefficient $$\begin{array} { l } 3 x + y - 2 z - w = 8 \\- x + 2 y + z - 4 w = - 12 \\2 x - 2 y + 3 z + w = 8 \\- 2 x - y - z - 4 w = - 7\end{array}$$

Multiple Choice

Solve the system by using the inverse of the coefficient matrix.
- $$\begin{array} { l } 3 x + y - 2 z - w = 8 \\- x + 2 y + z - 4 w = - 12 \\2 x - 2 y + 3 z + w = 8 \\- 2 x - y - z - 4 w = - 7\end{array}$$

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