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    Systems of Equations : Gaussian Elimination with Scaled Partial Pivoting

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    In a linear system

    2x + 3y =8
    -x + 2y - z =0
    3x +2 z=9

    I am attempting to solve for x,y, and z using the Gaussian elimination with scaled partial pivoting. I also need to show intermediate matrices and vectors.

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    2x + 3y =8
    -x + 2y - z =0
    3x +2 z=9

    The system is of the form

    2 3 0 x 8
    -1 2 -1 y 0
    3 0 2 z 9

    Start by forming the scale vector. It has the largest coefficient (in magnitude) of each ...

    Solution Summary

    A System of Equations is solved using Gaussian Elimination with Scaled Partial Pivoting. The solution is detailed and well-presented.