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    Use elementary row operations

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    Solve the following systems. Use elementary row operations to reduce the augmented matrix of the system to our upper diagonal matrix.

    a) [x+y+z=2]
    [2x-y-z=1]
    [3x+2y+z=3]

    b) [x+y+z=2]
    [2x-y-z=1]
    [4x+y+z=3]

    © BrainMass Inc. brainmass.com November 24, 2021, 3:29 pm ad1c9bdddf
    https://brainmass.com/math/matrices/use-elementary-row-operations-350009

    Solution Preview

    We start with multiplying the first row by 2, subtract it from the second row and place the result in the second row:

    Then, we multiply the first row by 3, subtract it from the third row and place the result in the third row:

    We multiply the second row by 1/3, subtract it from the ...

    Solution Summary

    The use of elementary row operations to reduce the augmented matrix of the system to our upper diagonal matrix is fully summarized in this solution.

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