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. $\left[\begin{array}{l}
{\begin{array}{cccc}
1 & 0 & 0 & \vdots-3
\end{array}} \
\begin{array}{llll}
0 & 1 & 0 & \vdots-9
\end{array} \
\begin{array}{llll}
0 & 0 & 1 & \vdots3
\end{array} \
\end{array}\right]$
A)(-3,9,3)
B)(3,-9,3)
C)(-3,-9,3)
D)(-3,-9,-3)
E)(-3,3,-9)

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.​ $\left[\begin{array}{l}
{\begin{array}{cccc}
1 & 0 & 0 & \vdots-3
\end{array}} \
\begin{array}{llll}
0 & 1 & 0 &  \vdots-9
\end{array} \
\begin{array}{llll}
0 & 0 & 1 &  \vdots3
\end{array} \
\end{array}\right]$ ​
A)​(-3,9,3)
B)(3,-9,3)
C)(-3,-9,3)
D)(-3,-9,-3)
E)(-3,3,-9)

Quizplus · Accepted Answer

The augmented matrix is in reduced row echelon form, indicating that the solution to the system of equations is $x = -3$, $y = -9$, and $z = 3$, which corresponds to choice C.

An Augmented Matrix That Represents a System of Linear Equations