An augmented matrix that represents a system of linear equations (in variables x,y,z and w if applicable)has been reduced using Gauss-Jordan elimination.Find the solution represented by the augmented matrix. $\left[\begin{array}{l}
{\begin{array}{cccc}
1 & 0 & 0 & \vdots8
\end{array}} \
\begin{array}{llll}
0 & 1 & 0 & \vdots-6
\end{array} \
\begin{array}{llll}
0 & 0 & 1 & \vdots0
\end{array} \
\end{array}\right]$
A)(0,8,-6)
B)(8,0,-6)
C)(8,-6,0)
D)(-8,-6,0)
E)(8,6,0)

Question

An augmented matrix that represents a system of linear equations (in variables x,y,z and w if applicable)has been reduced using Gauss-Jordan elimination.Find the solution represented by the augmented matrix.​ $\left[\begin{array}{l}
{\begin{array}{cccc}
1 & 0 & 0 & \vdots8
\end{array}} \
\begin{array}{llll}
0 & 1 & 0 &  \vdots-6
\end{array} \
\begin{array}{llll}
0 & 0 & 1 &  \vdots0
\end{array} \
\end{array}\right]$ ​
A)​(0,8,-6)
B)(8,0,-6)
C)(8,-6,0)
D)(-8,-6,0)
E)(8,6,0)

Quizplus · Accepted Answer

The augmented matrix is in reduced row echelon form, representing the system of equations x = 8, y = -6, and z = 0. Therefore, the solution to the system is (8, -6, 0).

An Augmented Matrix That Represents a System of Linear Equations