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

**Physics Forums - The Fusion of Science and Community**

# Linear Algebra proof (nonsingular matrices)

Know someone interested in this topic? Share a link to this question via email,
Google+,
Twitter, or
Facebook

Have something to add?

- Similar discussions for: Linear Algebra proof (nonsingular matrices)

Loading...

**Physics Forums - The Fusion of Science and Community**