DIFFICULT MATRIX PROBLEM

PrincessLayla · **Joined:** Tue, 17 Feb 2009 07:12:34 UTC **Posts:** 7

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.

outermeasure · **Posted:** Tue, 17 Feb 2009 09:12:00 UTC

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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DIFFICULT MATRIX PROBLEM

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