The matrix is the reduced echelon matrix for a system with variables x 1 , x 2 , x 3 , and x 4 . Find the solution set of the system. $$\left[ \begin{array} { r r r r | r }
1 & 0 & 0 & 0 & 0 \
0 & 1 & 0 & 0 & - 8 \
0 & 0 & 1 & 0 & 0 \
0 & 0 & 0 & 1 & - 9
\end{array} \right]$$
A) ( $-$ 3, $-$ 10, 2, $-$ 12)
B) (0, $-$ 10, 0, $-$ 12)
C) (3, $-$ 8, $-$ 2, $-$ 9)
D) (0, $-$ 8, 0, $-$ 9)
E) inconsistent

Question

The matrix is the reduced echelon matrix for a system with variables x 1 , x 2 , x 3 , and x 4 . Find the solution set of the system. $$\left[ \begin{array} { r r r r | r } 
1 & 0 & 0 & 0 & 0 \
0 & 1 & 0 & 0 & - 8 \
0 & 0 & 1 & 0 & 0 \
0 & 0 & 0 & 1 & - 9
\end{array} \right]$$
A) ( $-$ 3, $-$ 10, 2, $-$ 12)
B) (0, $-$ 10, 0, $-$ 12)
C) (3, $-$ 8, $-$ 2, $-$ 9)
D) (0, $-$ 8, 0, $-$ 9)
E) inconsistent

Quizplus · Accepted Answer

The matrix is in reduced row echelon form, directly showing the solutions for $x_1$, $x_2$, $x_3$, and $x_4$ as 0, -8, 0, and -9, respectively.

The Matrix Is the Reduced Echelon Matrix for a System [100000100−8001000001−9]\left[ \begin{array} { r r r r | r } 1 & 0 & 0 & 0 & 0 \\0 & 1 & 0 & 0 & - 8 \\0 & 0 & 1 & 0 & 0 \\0 & 0 & 0 & 1 & - 9\end{array} \right]​1000​0100​0010​0001​0−80−9​​

The Matrix Is the Reduced Echelon Matrix for a System $\left[ \begin{array} { r r r r | r } 1 & 0 & 0 & 0 & 0 \\0 & 1 & 0 & 0 & - 8 \\0 & 0 & 1 & 0 & 0 \\0 & 0 & 0 & 1 & - 9\end{array} \right]$