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Use Gauss-Jordan Row Reduction to Solve the Given System of Equations

Question 111

Essay

Use Gauss-Jordan row reduction to solve the given system of equations.
x−12y=613x+13y+13z=612x−12z=−1\begin{array} { l } x - \frac { 1 } { 2 } y \quad = 6 \\\frac { 1 } { 3 } x + \frac { 1 } { 3 } y + \frac { 1 } { 3 } z = 6 \\\frac { 1 } { 2 } x \quad - \frac { 1 } { 2 } z = - 1 \\\end{array}

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