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Question regarding multiple steps in linear mapping

  1. Jul 13, 2008 #1
    Hi, I'm having some difficulty with this problem. I need to project a point in R2 to the line x2 = x1 (sqrt(3)) and then rotate it 30 degrees clockwise.

    I believe the 2x2 matrix to map it is just

    sqrt(3) 0
    0 1

    and to rotate a vector clockwise as opposed to counter clockwise I think is

    cosx sinx
    -sinx cosx

    I could be wrong about these 2 matrices. Is there anyway to merge the two? Do I multiply them? Thanks.
  2. jcsd
  3. Jul 14, 2008 #2


    User Avatar
    Science Advisor

    Yes, you "merge" two matrices by multiplying them. Be sure to multiply in the right order.
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