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Homework Help: Relation between matrixes problem

  1. Nov 25, 2006 #1
    Hi, I have a problem with an argument here.

    I am given 4 Matrixes, A, C, D and F. see attachment..

    I can then see that A^n = C*D^n*F = some matrix with a Fibonacci-serie in it.

    I can also see that C*F=F*C=I or C is the inverse of F

    My problem is to relate these two:
    How can the fact that C is the inverse of F explain that A^n = C*D^n*F ?

    NB. A^n = C*D^n*F is NOT true for any two C and F, C^-1=F, wich in my mind make it even harder to see the relation.

    Attached Files:

  2. jcsd
  3. Nov 26, 2006 #2
    I can't see the attachment, but I'm guessing this is to do with the idea that A^n = (CDF)^n = (CDF)(CDF)(CDF)(CDF)....(CDF) = CD(FC)D(FC)D(FC)D(FC)D(FC)D....DF = CDIDIDIDIDIDID...DF = CDDDDD...DF = CD^nF

    I'm afraid I'm not quite sure what it is you're stuck on, but hopefully that will help.
  4. Nov 26, 2006 #3
    I think that's it, thanks alot.
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