The reduced row echelon form of the augmented matrix of a system of equations is given. Find the solutions of thesystem.
-45 $\left[\begin{array}{llll|c}1 & 0 & 0 & 0 & 12 \ 0 & 1 & 0 & 0 & 0 \ 0 & 0 & 1 & 0 & -8 \ 0 & 0 & 0 & 1 & 11 / 2\end{array}\right]$
A) $\left(12, w,-8, \frac{11}{2}\right)$ for any real number $w$
B) $\left(12,0,-8, \frac{11}{2}\right)$
C) $\left(12,-8, \frac{11}{2}, 0\right)$
D) No solution

Question

Quizplus · Accepted Answer

The reduced row echelon form indicates a unique solution for each variable: $x_1 = 12$, $x_2 = 0$, $x_3 = -8$, and $x_4 = \frac{11}{2}$.

The Reduced Row Echelon Form of the Augmented Matrix of a System