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    Systems of Linear Equations : 3 Unknowns (Echelon Method)

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    The problem is to find all the possible solutions to the following:

    Eq 1: x + y = 2
    Eq 2: y + z = 3
    Eq 3: x + 2y + z = 5

    I set up my matricies in the following:

    1 1 0 2
    0 1 1 3
    1 2 1 5

    operation 1: (-1*row 1 +row 3)

    1 1 0 2
    0 1 1 3
    0 1 1 3

    operation 2: (-1*row 2 +row 3)

    1 1 0 2
    0 1 1 3
    0 0 0 0

    operation 3: (-1*row 2 +row 1)

    1 0 -1 -1
    0 1 1 3
    0 0 0 0

    I am taking a optimization class, but I have never had linear algebra. From the review problems in the book, I have got this far, but I don't know what else I could do now operational wise that would make sense, and I don't know what this means to the solution. Can you help explain it to me?

    © BrainMass Inc. brainmass.com February 24, 2021, 2:18 pm ad1c9bdddf
    https://brainmass.com/math/linear-algebra/12450

    Solution Summary

    Matrices are used to solve a system of equations.

    $2.19

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