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It will solve the solution "exactly", but will take a very very long time for large matrices.
Gauss Jordan method will require O(n^3) multiplication/divisions and O(n^3) additions and subtractions.
Gauss seidel in reality you may not know when you have reached a solution. So, you may have to define the difference between succesive iterations as a tolerance for error. But, most of the time GS is much prefured in cases of large matrices.
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