Use Matrices and Gaussian Elimination to Solve Systems
- $$\begin{array} { l r } x + y + z - w = & 6 \\2 x - y + 3 z + 4 w = & - 4 \\4 x + 2 y - z - w = & - 13 \\- x - 2 y + 4 z + 3 w = & 12\end{array}$$

Multiple Choice

Use Matrices and Gaussian Elimination to Solve Systems
- $$\begin{array} { l r } x + y + z - w = & 6 \\2 x - y + 3 z + 4 w = & - 4 \\4 x + 2 y - z - w = & - 13 \\- x - 2 y + 4 z + 3 w = & 12\end{array}$$

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