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

Question 47

Essay

Use Gauss-Jordan row reduction to solve the given system of equations.
​ x+y+z+u+v=15y+z+u+v=1x+2y+2z+2u+2v=16x−y−z−u−v=13x−2y−2z−2u−2v=12\begin{aligned}x + y + z + u + v & = 15 \\y + z + u + v & = 1 \\x + 2 y + 2 z + 2 u + 2 v & = 16 \\x - y - z - u - v & = 13 \\x - 2 y - 2 z - 2 u - 2 v & = 12\end{aligned}

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