Solve Each System of Equations Using Matrices (Row Operations) $$\begin{array} { l } x + 3 y - 2 z - w = 27 \\4 x + y + z + 2 w = 14 \\- 3 x - y - 3 z - 2 w = - 1 \\x - y - 3 z - 2 w = 11\end{array}$$

Multiple Choice

Solve each system of equations using matrices (row operations) . If the system has no solution, say that it is inconsistent.
- $$\begin{array} { l } x + 3 y - 2 z - w = 27 \\4 x + y + z + 2 w = 14 \\- 3 x - y - 3 z - 2 w = - 1 \\x - y - 3 z - 2 w = 11\end{array}$$

A) $\{ ( 27,14 , - 1,11 ) \}$
B) $\{ ( 3,5 , - 5,1 ) \}$
C) $\{ ( 2,7 , - 9,3 ) \}$
D) $\{ ( 3 + w , 5 - 2 w , - 5 + 2 w , w ) \}$