Solve the system by using the inverse of the coefficient matrix.
-$$\begin{array} { l }
- 3 x + y + 3 z - w = - 1 \
- x - 4 y + z - 2 w = - 15 \
- 4 x + 3 y - 3 z + w = 20 \
3 x - y - z - 2 w = - 6
\end{array}$$
A) $\{ ( - 1 , - 3,2 , - 1 ) \}$
B) $\{ ( - 3,4 , - 1 , - 1 ) \}$
C) $\varnothing$
D) $\{ ( - 1,3 , - 2,1 ) \}$

Question

Solve the system by using the inverse of the coefficient matrix.
-$$\begin{array} { l } 
- 3 x + y + 3 z - w = - 1 \
- x - 4 y + z - 2 w = - 15 \
- 4 x + 3 y - 3 z + w = 20 \
3 x - y - z - 2 w = - 6
\end{array}$$
A) $\{ ( - 1 , - 3,2 , - 1 ) \}$
B) $\{ ( - 3,4 , - 1 , - 1 ) \}$
C) $\varnothing$
D) $\{ ( - 1,3 , - 2,1 ) \}$

Quizplus · Accepted Answer

The Answer of Solve the system by using the inverse of the coefficient matrix.
-$$\begin{array} { l } 
- 3 x + y + 3 z - w = - 1 \
- x - 4 y + z - 2 w = - 15 \
- 4 x + 3 y - 3 z + w = 20 \
3 x - y - z - 2 w = - 6
\end{array}$$
A) $\{ ( - 1 , - 3,2 , - 1 ) \}$
B) $\{ ( - 3,4 , - 1 , - 1 ) \}$
C) $\varnothing$
D) $\{ ( - 1,3 , - 2,1 ) \}$