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Possible Duplicate:
row operations, swapping rows

I am curious whether it is possible not to use row swapping to obtain row echelon form or reduced echelon form in every case.

I never heard of any theorem that proves or disproves this, so here's the question.

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    See [here](http://math.stackexchange.com/questions/129706/row-operations-swapping-rows).2012-08-21

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You can accomplish row swapping by four successive other operations, so no explicit need.

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    right. stupid me..2012-08-21