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OpenStudy (anonymous):
How can i prove that similar matrices have the same rank?
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OpenStudy (anonymous):
Similar matrices are related via: B = P-1AP, where B, A and P are nxn matrices.. since P is invertible, it rank(P) = n, and so since the main diagonal of P all > 0, multiplying by P will not change the rank of A, so rank B = rank A. Read more: http://www.physicsforums.com
OpenStudy (anonymous):
i'm not sure i may be wrong
OpenStudy (anonymous):
There are a number of ways to prove this. Yours is simple.
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