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Proof of 2D rotation commutativity

  1. Oct 1, 2011 #1
    1. The problem statement, all variables and given/known data

    How is it possible to prove that 2-dimensional rotations (via matrix transformations) are commutative?


    2. Relevant equations



    3. The attempt at a solution

    I believe subbing in trig variables in two matrices and then calculating them in different orders would result in the same matrix and prove it, but I am not sure it is sufficient.
     
  2. jcsd
  3. Oct 1, 2011 #2

    LCKurtz

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    Yes, that would prove it.
     
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