Use Matrices and Gauss-Jordan Elimination to Solve Systems
- $$\begin{array} { c } x + y - z + w = - 5 \\3 x - y + 3 z - 2 w = 7 \\- 2 x + 2 y + z - w = 16 \\- x - 2 y - 3 z + 3 w = - 22\end{array}$$

Multiple Choice

Use Matrices and Gauss-Jordan Elimination to Solve Systems
- $$\begin{array} { c } x + y - z + w = - 5 \\3 x - y + 3 z - 2 w = 7 \\- 2 x + 2 y + z - w = 16 \\- x - 2 y - 3 z + 3 w = - 22\end{array}$$

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