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

Multiple Choice

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

A) $\varnothing$
B) $\{ ( - 9 , - 2,4,1 ) \}$
C) $\{ ( - 5 - 4 w , - 1 - w , 3 + w , w ) \}$
D) $\{ ( - 5 , - 1,3 , \mathrm { w } ) \}$