Solve the System by Using the Inverse of the Coefficient $$\begin{array} { l } - 3 x + y + 3 z - w = - 1 \\- x - 4 y + z - 2 w = - 15 \\- 4 x + 3 y - 3 z + w = 20 \\3 x - y - z - 2 w = - 6\end{array}$$

Multiple Choice

Solve the system by using the inverse of the coefficient matrix.
- $$\begin{array} { l } - 3 x + y + 3 z - w = - 1 \\- x - 4 y + z - 2 w = - 15 \\- 4 x + 3 y - 3 z + w = 20 \\3 x - y - z - 2 w = - 6\end{array}$$

A) $\{ ( - 1 , - 3,2 , - 1 ) \}$
B) $\{ ( - 3,4 , - 1 , - 1 ) \}$
C) $\varnothing$
D) $\{ ( - 1,3 , - 2,1 ) \}$