# gauss elimination problem

• Mar 5th 2014, 03:18 AM
prasum
gauss elimination problem
if one of the pivot elements of the gauss elimination problem is 0 then what will happen to its solutions?
• Mar 5th 2014, 07:15 AM
HallsofIvy
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.
• Mar 5th 2014, 08:31 AM
prasum
Re: gauss elimination problem
can the case of unique solution be there
• Mar 5th 2014, 08:33 AM
romsek
Re: gauss elimination problem
Quote:

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.
• Mar 5th 2014, 09:27 AM
prasum
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