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. $\left[ \begin{array} { c c c c }
1&0&0 &\vdots& 8 \
0&1&0 &\vdots& -6 \
0 & 0 & 1 &\vdots&0\
\end{array} \right]$
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.   $\left[ \begin{array} { c c c c } 
1&0&0 &\vdots& 8 \
0&1&0 &\vdots& -6 \
0 & 0 & 1 &\vdots&0\
\end{array} \right]$  
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, z = 0. This corresponds to the solution (8, -6, 0).

An Augmented Matrix That Represents a System of Linear Equations [100⋮8010⋮−6001⋮0]\left[ \begin{array} { c c c c } 1&0&0 &\vdots& 8 \\0&1&0 &\vdots& -6 \\0 & 0 & 1 &\vdots&0\\\end{array} \right]​100​010​001​⋮⋮⋮​8−60​​

An Augmented Matrix That Represents a System of Linear Equations $\left[ \begin{array} { c c c c } 1&0&0 &\vdots& 8 \\0&1&0 &\vdots& -6 \\0 & 0 & 1 &\vdots&0\\\end{array} \right]$