1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Matrix powers

  1. Mar 9, 2009 #1
    If I have a matrix A=

    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

    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


    User Avatar
    Science Advisor
    Homework Helper

    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


    User Avatar
    Science Advisor
    Homework Helper

    but we ask for TUTORIALS here, not help with individual questions.
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Matrix powers
  1. Matrix Powers (Replies: 1)

  2. Matrix power (Replies: 2)

  3. Matrix Powers (Replies: 4)