Solve the system by using the inverse of the coefficient matrix.
-$$\begin{array} { l }
3 x + y - 2 z - w = 8 \
- x + 2 y + z - 4 w = - 12 \
2 x - 2 y + 3 z + w = 8 \
- 2 x - y - z - 4 w = - 7
\end{array}$$
A) $\{ ( 3,2,1 , - 1 ) \}$
B) $\{ ( 3 , - 2 , - 1,1 ) \}$
C) $\{ ( 1 , - 3 , - 2 , - 1 ) \}$
D) $\varnothing$

Question

Solve the system by using the inverse of the coefficient matrix.
-$$\begin{array} { l } 
3 x + y - 2 z - w = 8 \
- x + 2 y + z - 4 w = - 12 \
2 x - 2 y + 3 z + w = 8 \
- 2 x - y - z - 4 w = - 7
\end{array}$$
A) $\{ ( 3,2,1 , - 1 ) \}$
B) $\{ ( 3 , - 2 , - 1,1 ) \}$
C) $\{ ( 1 , - 3 , - 2 , - 1 ) \}$
D) $\varnothing$

Quizplus · Accepted Answer

The Answer of Solve the system by using the inverse of the coefficient matrix.
-$$\begin{array} { l } 
3 x + y - 2 z - w = 8 \
- x + 2 y + z - 4 w = - 12 \
2 x - 2 y + 3 z + w = 8 \
- 2 x - y - z - 4 w = - 7
\end{array}$$
A) $\{ ( 3,2,1 , - 1 ) \}$
B) $\{ ( 3 , - 2 , - 1,1 ) \}$
C) $\{ ( 1 , - 3 , - 2 , - 1 ) \}$
D) $\varnothing$