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    Systems of Equations : Solve using Augmented Matrix

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    Solve the following system of equations by performing elementary row operations on the augmented matrix.
    x1-2x2 +2x4 = 6
    2x1-4x2+x3-x4 =-2
    3x1+6x2-x3-x4=-4
    x1-2x2+x3-3x4=-8

    © BrainMass Inc. brainmass.com March 4, 2021, 5:49 pm ad1c9bdddf
    https://brainmass.com/math/matrices/systems-equations-solve-augmented-matrix-12628

    Solution Preview

    We perform row operations on the augmented matrix

    1 -2 0 2 6
    ( 2 -4 1 -1 -2 )
    3 6 1 -1 -4
    1 -2 1 -3 -8

    1 -2 0 2 6
    ( 0 0 1 -5 -14 ) [row2-2(row1)]
    0 12 ...

    Solution Summary

    A system of equations is solved by performing elementary row operations on the augmented matrix.

    $2.49

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