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Please Help with problem with matrices, reflections, rotations

  1. Dec 3, 2009 #1
    Looking for help with a problem I'm working on:

    "Show that matrix
    [0 -1 0]
    [-1 0 0]
    [0 0 1]
    for a reflection about line y=-x
    is equivalent to a reflection relative to the y axis followed by a counter-clockwise rotation of 90 degrees."

    So for my answer, first I have for the reflection relative to the y axis, I have the matrix:
    [-1 0 0]
    [0 1 0]
    [0 0 1]

    and for the counter-clockwise rotation of 90 degrees, I have the matrix:
    [0 -1 0]
    [1 0 0]
    [0 0 1]

    but then I don't know what my next step should be.

    Can anyone help me with this?

    thanks,
    Della
     
  2. jcsd
  3. Dec 3, 2009 #2

    Dick

    User Avatar
    Science Advisor
    Homework Helper

    Sure. The matrix of the combined operation is the product of the matrices for the individual operations. Multiply (matrix of rotation)*(matrix of reflection).
     
  4. Dec 3, 2009 #3
    thank you
     
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