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Math Help - How to solve the following systems of equation in matrices/Gauss Jordan form?

  1. #1
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    How to solve the following systems of equation in matrices/Gauss Jordan form?

    { -.5x + .5y + .5z = 1.5
    4.2x + 2.1y + 2.1z = 0
    .2x + ___ + 0.2z = 0

    The answer is supposed to be (-1, 1, 1) but i got (10/21, 0, 10/21). I checked my answer by substituting my answer for the variables in the 1st equation and got 3 instead of 1.5.
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  2. #2
    A Plied Mathematician
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    Can you show your work?

    Here's how you can do an extended matrix in LaTeX (double-click to see the source code):

    \left[\begin{matrix}0&0&0\\3&1&-4\\4&2&-6\end{matrix}\left|\begin{matrix}-2\\2\\5\end{matrix}\right].
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  3. #3
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    i was able to solve it thru


    (5/42)R2 + R1 -> R2
    (.5/.2)R3 + R2 -> R3
    then
    1.5R1 - R2 -> R1
    1.5R3 - R2 -> R3
    then
    R2 - R3 -> R3
    then
    divide each row by their pivot

    thanks for the tip ackbeet.
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  4. #4
    A Plied Mathematician
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    Ok, glad you got it. Have a good one!
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