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Math Help - gauss elimination problem

  1. #1
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    gauss elimination problem

    if one of the pivot elements of the gauss elimination problem is 0 then what will happen to its solutions?
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  2. #2
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    Re: gauss elimination problem

    If it is possible to swap that row with a lower one so that the pivot is not 0, then nothing "happens". If it is not then either of two things can happen:
    1) If the corresponding "right side" is 0 then there exist an infinite number of solutions.
    2) If the corresponding "right side" is not 0 then there is no solution.
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  3. #3
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    Re: gauss elimination problem

    can the case of unique solution be there
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  4. #4
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    Re: gauss elimination problem

    Quote Originally Posted by prasum View Post
    can the case of unique solution be there
    if you can't swap rows then you have an equation that says 0x = C. It should be pretty clear that the only two alternatives are what HallsofIvy already stated.
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  5. #5
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    Re: gauss elimination problem

    if below pivot element which is 0 there comes -1 then do we take the mod for swapping or the actual value
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