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

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- March 5th 2014, 04:18 AMprasumgauss elimination problem
if one of the pivot elements of the gauss elimination problem is 0 then what will happen to its solutions?

- March 5th 2014, 08:15 AMHallsofIvyRe: 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. - March 5th 2014, 09:31 AMprasumRe: gauss elimination problem
can the case of unique solution be there

- March 5th 2014, 09:33 AMromsekRe: gauss elimination problem
- March 5th 2014, 10:27 AMprasumRe: 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