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Thread: Solve by Gaussian elimination

  1. #1
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    Solve by Gaussian elimination

    Solve the linear system by Gaussian elimination.

    x1 + x2 + 2x3 = 8
    -x1 - 2x2 + 3x3 = 1
    3x1 - 7x2 + 4x3 = 10

    Could someone help me with this step by step?

    The augmented matrix is:

    [ 1 1 2 8 ]
    -1 -2 3 1
    3 -7 4 10
    Last edited by sersha; Aug 31st 2019 at 06:32 AM.
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  2. #2
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    Re: Solve by Gaussian elimination

    this is easy. Just youtube gaussian elimination or refer to your TB on how to solve it.
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  3. #3
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    Re: Solve by Gaussian elimination

    Quote Originally Posted by sersha View Post
    Solve the linear system by Gaussian elimination.

    x1 + x2 + 2x3 = 8
    -x1 - 2x2 + 3x3 = 1
    3x1 - 7x2 + 4x3 = 10

    Could someone help me with this step by step?

    The augmented matrix is:

    [ 1 1 2 8 ]
    -1 -2 3 1
    3 -7 4 10
    Okay, you created an augmented matrix. Now, eliminate!

    r1 leave alone
    r2 replace by r2+r1
    r3 replace by r3+3r2

    Where does that leave us and where do we go next?
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