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Re: How to compute a MatrixPower using: A^n = P D^n Inverse[P]


"J. Guillermo Sanchez" wrote:
> 
> I have the matrix
> 
> A == {{3,1,0},{1,2,-1},{0,-1,3}}
> 
> For educational purpose I would like to evaluate
> 
> A^n (* I mean MatrixPower[A,n]*)
> 
> using the following matrix property
> 
> A^n == P D^n Inverse[P]  (*D mean Diagonal Matrix *)
> 
> How can I do with Mathematica? (Methods to obtain P and D)
> 
> Thanks
> 
> Guillermo Sanchez

This is in the help browser under Eigensystem.

http://documents.wolfram.com/v4/RefGuide/Eigensystem_ex.html

Daniel Lichtblau
Wolfram Research


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