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math-matrix

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solve using the gauss-jordan method.
x-2y+4z=7
-x+3y-z=-1
2x+y=-2

*I get through the first two columbs, but can't get the third one to the one and zero.

  • math-matrix -

    http://www.irs.gov/pub/irs-pdf/i1040tt.pdf

    Step 2: Enter the values for your matrix, and press the "Solve" button.
    three rows, four columns
    Input
    +1 -2 +4 +7
    -1 +3 -1 -1
    +2 +1 +0 -2





    Add (1 * row1) to row2
    1 -2 4 7
    0 1 3 6
    2 1 0 -2

    Add (-2 * row1) to row3
    1 -2 4 7
    0 1 3 6
    0 5 -8 -16

    Add (-5 * row2) to row3
    1 -2 4 7
    0 1 3 6
    0 0 -23 -46

    Divide row3 by -23
    1 -2 4 7
    0 1 3 6
    0 0 1 2

    Add (-3 * row3) to row2
    1 -2 4 7
    0 1 0 0
    0 0 1 2

    Add (-4 * row3) to row1
    1 -2 0 -1
    0 1 0 0
    0 0 1 2

    Add (2 * row2) to row1
    1 0 0 -1
    0 1 0 0
    0 0 1 2

  • link correction -

    http://www.gregthatcher.com/Mathematics/GaussJordan.aspx

  • math-matrix -

    thanks, wasn't too sure whether I could divide by -23 or not. Found the website, was really helpfull =)

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