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 Post subject: DIFFICULT MATRIX PROBLEMPosted: Tue, 17 Feb 2009 07:18:45 UTC

Joined: Tue, 17 Feb 2009 07:12:34 UTC
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Suppose that A and B are m x n and n x m matrices, respectively, where m < or = m. Prove that BA has the same eigenvalues as AB, counting multiplicity, together with an additional n-m eigenvalues equal to zero.

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 Post subject: Re: DIFFICULT MATRIX PROBLEMPosted: Tue, 17 Feb 2009 09:12:00 UTC
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PrincessLayla wrote:
Suppose that A and B are m x n and n x m matrices, respectively, where m < or = m. Prove that BA has the same eigenvalues as AB, counting multiplicity, together with an additional n-m eigenvalues equal to zero.

Duplicate of http://www.sosmath.com/CBB/viewtopic.php?t=42479

As Matt asked in another thread of yours --- are you vqmail? The three questions you two posted are exactly the same.

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