Write the system of linear equations as a matrix equation AX = B,and use Gauss-Jordan elimination on the augmented matrix [A|B] to solve for the matrix X.Show all your work. $$\left\{ \begin{array} { r l r }
x _ { 1 } + 8 x _ { 2 } - 3 x _ { 3 } & = 66 \
- x _ { 1 } - 9 x _ { 2 } + 8 x _ { 3 } & = - 101 \
9 x _ { 1 } + 9 x _ { 2 } + 3 x _ { 3 } & = 99
\end{array} \right.$$

Question

​Write the system of linear equations as a matrix equation AX = B,and use Gauss-Jordan elimination on the augmented matrix [A|B] to solve for the matrix X.Show all your work.​ $$\left\{ \begin{array} { r l r } 
x _ { 1 } + 8 x _ { 2 } - 3 x _ { 3 } & = 66 \
- x _ { 1 } - 9 x _ { 2 } + 8 x _ { 3 } & = - 101 \
9 x _ { 1 } + 9 x _ { 2 } + 3 x _ { 3 } & = 99
\end{array} \right.$$

Quizplus · Accepted Answer

The Answer of ​Write the system of linear equations as a matrix equation AX = B,and use Gauss-Jordan elimination on the augmented matrix [A|B] to solve for the matrix X.Show all your work.​ $$\left\{ \begin{array} { r l r } 
x _ { 1 } + 8 x _ { 2 } - 3 x _ { 3 } & = 66 \
- x _ { 1 } - 9 x _ { 2 } + 8 x _ { 3 } & = - 101 \
9 x _ { 1 } + 9 x _ { 2 } + 3 x _ { 3 } & = 99
\end{array} \right.$$

​Write the System of Linear Equations as a Matrix Equation

Write the System of Linear Equations as a Matrix Equation