Determine the solution set for the system represented by the augmented matrix.
-$\left[ \begin{array} { r r r | r } 1 & 0 & - 7 & 4 \ 0 & 1 & 6 & 1 \ 0 & 0 & 0 & 1 \end{array} \right]$
A) $\{ ( - 7,6,0 ) \}$
B) $\{ ( 11 , - 5,1 ) \}$
C) $\{ ( 4,1,0 ) \}$
D){ }

Question

Quizplus · Accepted Answer

The augmented matrix shows that the system of equations is inconsistent due to the row $[0 \ 0 \ 0 \ | \ 1]$, which implies $0=1$, an impossibility. Therefore, there is no solution.

Determine the Solution Set for the System Represented by the Augmented