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Mathematics 14 Online
OpenStudy (anonymous):

How can i prove that similar matrices have the same rank?

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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