Solve the System by Using the Inverse of the Coefficient $$\begin{array} { l } - 2 x + y + 3 z - w = 14 \\- x - 4 y + z - 4 w = 12 \\- 4 x + 3 y - 2 z + w = 4 \\3 x - y - z - 4 w = 3\end{array}$$

Multiple Choice

Solve the system by using the inverse of the coefficient matrix.
- $$\begin{array} { l } - 2 x + y + 3 z - w = 14 \\- x - 4 y + z - 4 w = 12 \\- 4 x + 3 y - 2 z + w = 4 \\3 x - y - z - 4 w = 3\end{array}$$

A) $\{ ( - 2,1,2 , - 3 ) \}$
B) $\{ ( - 2 , - 1 , - 2,3 ) \}$
C) $\varnothing$
D) $\{ ( - 4,2,3 , - 5 ) \}$