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!

Homework Help: 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


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member

    Yes, that would prove it.
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook