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​Write the System of Linear Equations as a Matrix Equation

question 36

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​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.​ {x1+8x23x3=66x19x2+8x3=1019x1+9x2+3x3=99\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.


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