Solve the system by using the inverse of the coefficient matrix.
-$$\begin{array} { l }
- 4 x - y - 9 z = - 69 \
- 5 x + 7 y + 5 z = 36 \
- 9 x - 5 y + z = - 36
\end{array}$$
A) $\{ ( - 3,3,6 ) \}$
B) $\varnothing$
C) $\{ ( 3,6,3 ) \}$
D) $\{ ( 3,3,6 ) \}$

Question

Solve the system by using the inverse of the coefficient matrix.
-$$\begin{array} { l } 
- 4 x - y - 9 z = - 69 \
- 5 x + 7 y + 5 z = 36 \
- 9 x - 5 y + z = - 36
\end{array}$$
A) $\{ ( - 3,3,6 ) \}$
B) $\varnothing$
C) $\{ ( 3,6,3 ) \}$
D) $\{ ( 3,3,6 ) \}$

Quizplus · Accepted Answer

The inverse of the coefficient matrix can be used to solve the system, resulting in the solution (3, 3, 6).

Solve the System by Using the Inverse of the Coefficient −4x−y−9z=−69−5x+7y+5z=36−9x−5y+z=−36\begin{array} { l } - 4 x - y - 9 z = - 69 \\- 5 x + 7 y + 5 z = 36 \\- 9 x - 5 y + z = - 36\end{array}−4x−y−9z=−69−5x+7y+5z=36−9x−5y+z=−36​

Solve the System by Using the Inverse of the Coefficient $\begin{array} { l } - 4 x - y - 9 z = - 69 \\- 5 x + 7 y + 5 z = 36 \\- 9 x - 5 y + z = - 36\end{array}$