Use the Gauss-Jordan Method to Solve the System of Equations $$\begin{array} { l } x + 3 y - 2 z - w = 17 \\4 x + y + z + 2 w = 11 \\- 3 x - y - 3 z - 2 w = - 1 \\x - y - 3 z - 2 w = 7\end{array}$$

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.
- $$\begin{array} { l } x + 3 y - 2 z - w = 17 \\4 x + y + z + 2 w = 11 \\- 3 x - y - 3 z - 2 w = - 1 \\x - y - 3 z - 2 w = 7\end{array}$$

A) $\{ ( 17,11 , - 1,7 ) \}$
B) $\{ ( 1,5 , - 8,4 ) \}$
C) $\{ ( 2 + \mathrm { w } , 3 - 2 \mathrm { w } , - 4 + 2 \mathrm { w } , \mathrm { w } ) \}$
D) $\{ ( 2,3 , - 4,2 ) \}$