Use Matrices and Gauss-Jordan Elimination to Solve Systems
Solve the System

Multiple Choice

Use Matrices and Gauss-Jordan Elimination to Solve Systems
Solve the system of equations using matrices. Use Gauss-Jordan elimination.
- $$\begin{aligned}3 x + 5 y + 2 w & = - 12 \\2 x + 6 z - w & = - 5 \\- 2 y + 3 z - 3 w & = - 3 \\- x + 2 y + 4 z + w & = - 2\end{aligned}$$

A) $\{ ( - 1 , - 3,0,3 ) \}$
B) $\{ ( 1 , - 3,0,3 ) \}$
C) $\{ ( - 1,3,0 , - 3 ) \}$
D) $\{ ( 1,3,0 , - 3 ) \}$