Let A and B be n x n matrices and let C = AB. Prove that if B is singular then C must be singular.(adsbygoogle = window.adsbygoogle || []).push({});

I have no idea how to prove this. I also don't understand how you can make such a claim without making some stipulations about A. I mean, if A were the 0 matrix, then C doesn't equal AB. And if A is singular, couldn't C also be singular? I was trying to prove this using row equivalence but I couldn't get there. Thanks

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# Linear Algebra proof (nonsingular matrices)

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