Let's say we're given that A = rref(B)(adsbygoogle = window.adsbygoogle || []).push({});

I know this means that there is some matrix (let's call it S) such that A = SB.

How do I prove this?

I know that to change a matrix into its rref form, you perform a sequence of elementary row operations on it - why does this necessarily mean there will be a matrix S such that A = SB?

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# Question about rref

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