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# Matrices - row equivalent watch

1. A is a square matrix. Prove that if A is row equivalent to some square invertible matrix B then A is also invertible.

2. (Original post by Lunu)
A is a square matrix. Prove that if A is row equivalent to some square invertible matrix B then A is also invertible.

Well, there's a theorem that says that if A is row equivalent to B, then for some elementary matrices where an elementary matrix implements an elementary row operation.

Does that help?
3. (Original post by atsruser)
Well, there's a theorem that says that if A is row equivalent to B, then for some elementary matrices where an elementary matrix implements an elementary row operation.

Does that help?
Yes thank you

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Updated: October 29, 2015
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