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Matrix proof question

  1. Mar 14, 2013 #1
    1. The problem statement, all variables and given/known data

    Untitled.png

    2. Relevant equations



    3. The attempt at a solution

    I understand that matrix in the form of A as above represents a rotation about the origin.. but for this question, I am actually clueless on what method should i use to prove it... Any hint?
     
  2. jcsd
  3. Mar 15, 2013 #2

    Mark44

    Staff: Mentor

    Seems like a natural for an induction proof.
     
  4. Mar 15, 2013 #3

    HallsofIvy

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    Staff Emeritus
    Science Advisor

    It looks to me to be almost trivial! What is [itex]A^2[/itex]? [itex]A^{2n}= (A^2)^n[/itex].
     
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