Use Matrices and Gaussian Elimination to Solve Systems
-$$\begin{aligned}
3 x + 5 y - 2 w = & - 13 \
2 x + 7 z - w = & - 1 \
4 y + 3 z + 3 w = & 1 \
- x + 2 y + 4 z = & - 5
\end{aligned}$$
A) $\{ ( 1 , - 2,0,3 ) \}$
B) $\left\{ \left( \frac { 4 } { 3 } , - \frac { 13 } { 20 } , 0 , \frac { 5 } { 2 } \right) \right\}$
C) $\left\{ \left( \frac { 3 } { 4 } , - 2,0 , \frac { 3 } { 4 } \right) \right\}$
D) $\left\{ \left( - 1 , - \frac { 20 } { 13 } , 0 , \frac { 2 } { 5 } \right) \right\}$

Question

Quizplus · Accepted Answer

The correct answer is A because the system has a unique solution, which is (1, -2, 0, 3).

Use Matrices and Gaussian Elimination to Solve Systems - 3x+5y−2w=−132x+7z−w=−14y+3z+3w=1−x+2y+4z=−5\begin{aligned}3 x + 5 y - 2 w = & - 13 \\2 x + 7 z - w = & - 1 \\4 y + 3 z + 3 w = & 1 \\- x + 2 y + 4 z = & - 5\end{aligned}3x+5y−2w=2x+7z−w=4y+3z+3w=−x+2y+4z=​−13−11−5​

Use Matrices and Gaussian Elimination to Solve Systems
- $\begin{aligned}3 x + 5 y - 2 w = & - 13 \\2 x + 7 z - w = & - 1 \\4 y + 3 z + 3 w = & 1 \\- x + 2 y + 4 z = & - 5\end{aligned}$