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Matrix powers

  1. Mar 9, 2009 #1
    If I have a matrix A=
    k+1_____k-1
    k-1_____k+1

    What would A^n for whatever value of k or n be? What's the relationship?

    I only found something k=1 and 2 so far....(too confusing to type)
     
  2. jcsd
  3. Mar 9, 2009 #2
    I'm not sure what you're asking. Can you multiply two square matrices?

    A^2 = AA
    A^3 = AAA, etc.
     
  4. Mar 9, 2009 #3
    Oh wait, I think I figured it out for separate k values... now I just need a general k to n relationship :S
     
  5. Mar 9, 2009 #4
    If k=3, for example:
    A= a;b
    ___c;d


    A^n= 2^(n-1)(a^n; b^n
    _____________b^n; a^n)

    a^n= 3^(n-2)a-2^(n-1)+1
    b^n= 3^(n-2)b+2^(n-1)-1
     
  6. Mar 9, 2009 #5

    malawi_glenn

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    Do not ask for help here with exercises!!! Go to the HW forum!

    Read Sticky thread: Do not post homework questions here!

    Are you blind? :-p
     
  7. Mar 9, 2009 #6
    Actually it's not homework
    I figured it out anyway...
     
  8. Mar 9, 2009 #7

    malawi_glenn

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    but we ask for TUTORIALS here, not help with individual questions.
     
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