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Homework Help: Linear Algebra - Homogenous Coordinates

  1. Feb 15, 2010 #1
    The problem statement, all variables and given/known data
    Find a 3x3 matrix produces the following 2D composites transformation by translation and reflection about the line x=-3

    The attempt at a solution

    I understand translation but how do you go about doing reflection? I'm guessing for reflection, I need to do a conjugation? So I need to move the line from the origin to x=-3.Do I simply multiply -3 to the standard matrix of the line about x?

    I have asked in another site but no one seems to be answering. Any kind of help will be appreciated.
     
  2. jcsd
  3. Feb 15, 2010 #2
    I done a little thinking and is it possible that the transformation for the reflection is the identity multiply the line.

    so

    1 0 -3 -3
    X =
    0 1 0 0

    thus the transformation matrix for the reflection is

    1 0 -3
    0 1 0
    0 0 1


    Can anyone help? I really need the help.
     
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