Mathematica 9 is now available
Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2002
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2002

[Date Index] [Thread Index] [Author Index]

Search the Archive

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

  • To: mathgroup at smc.vnet.net
  • Subject: [mg34991] Re: [mg34976] How to compute a MatrixPower using: A^n = P D^n Inverse[P]
  • From: Daniel Lichtblau <danl at wolfram.com>
  • Date: Tue, 18 Jun 2002 02:48:32 -0400 (EDT)
  • References: <200206170726.DAA18874@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

"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


  • Prev by Date: RE: Definitions of the functions
  • Next by Date: some of the numbers in a list = a total
  • Previous by thread: How to compute a MatrixPower using: A^n = P D^n Inverse[P]
  • Next by thread: Re: How to compute a MatrixPower using: A^n = P D^n Inverse[P]