Inconsistent and Dependent Systems and Their Applications
1 Apply Gaussian $$\begin{aligned}x + y + z + w & = 7 \\3 x - 2 z + 5 w & = 11 \\- 4 x + 3 y + w & = 4 \\- x - y - z - w & = 6\end{aligned}$$

Multiple Choice

Inconsistent and Dependent Systems and Their Applications
1 Apply Gaussian Elimination to Systems Without Unique Solutions
- $$\begin{aligned}x + y + z + w & = 7 \\3 x - 2 z + 5 w & = 11 \\- 4 x + 3 y + w & = 4 \\- x - y - z - w & = 6\end{aligned}$$

A) $\varnothing$
B) $\left\{ \left( \frac { 3 } { 2 } , 1 , \frac { 1 } { 3 } , - 2 \right) \right\}$
C) $\left\{ \left( \frac { 7 } { 4 } , - \frac { 1 } { 2 } , 5 , - \frac { 1 } { 6 } \right) \right\}$
D) $\left\{ \left( - 11 , \frac { 7 } { 19 } , \frac { 6 } { 19 } , - 4 \right) \right\}$