# Math Help - gauss elimination problem

1. ## gauss elimination problem

if one of the pivot elements of the gauss elimination problem is 0 then what will happen to its solutions?

2. ## 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.

3. ## Re: gauss elimination problem

can the case of unique solution be there

4. ## Re: gauss elimination problem

Originally Posted by prasum
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.

5. ## 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