Question

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

Answer 1

what's N in this?

Answer 2

can u come to help me

Answer 3

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

Answer 4

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

Answer 5

Did that help any?

Answer 6

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

Answer 7

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

Answer 8

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