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- anonymous

Show that if M= PDP^-1, then M^n=PDN^nP^-1 for n=1,2,.... Can you help with this?

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- anonymous

Show that if M= PDP^-1, then M^n=PDN^nP^-1 for n=1,2,.... Can you help with this?

- chestercat

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- anonymous

what's N in this?

- anonymous

can u come to help me

- anonymous

can you tell me what your decomposition is? I"m assuming D is a diagonal matrix...i'm not sure what N is

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- anonymous

@Astyria not rlly sure thats all the problem says but it says n=1,2,...

- anonymous

Did that help any?

- anonymous

hm...sorry i'm not sure...my linear algebra isn't very good...i think you are trying to prove that you can find powers of a matrix by first decomposing it into PDP^-1 and then multiplying the diagonal matrix D by a power of N...but i'm not so sure what that N matrix needs to look like

- anonymous

try reposting the question...maybe there's someone else that can help

- anonymous

thats all it says....maybe it jus asking how to start with M= PDP^-1, then end up with M^n=PDN^nP^-1. I have no clue but thats all the question is

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