Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } x - y + 2 z + w = 4 \\y + z = 4 \\z - w = 3\end{array}$$

Multiple Choice

Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solutions, let the last
variable be the arbitrary variable.
- $$\begin{array} { l } x - y + 2 z + w = 4 \\y + z = 4 \\z - w = 3\end{array}$$

A) $\{ ( - 5,0,4,1 ) \}$
B) $\{ ( - 1,1,3 , w ) \}$
C) $\varnothing$
D) $\{ ( - 1 - 4 w , 1 - w , 3 + w , w ) \}$