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Homework Help: Geometry - Reflection.

  1. Oct 4, 2005 #1
    f(v) = (the matrix)
    |cosx sinx |
    |sinx -cosx |(v)

    If x is in R and f: R^2 --> R^2
    show that f is a reflection in a line L through the origin, and find the line of reflection.

    im having trouble figureing this out, i know that i need to find a line L fixed by f, and then to compare the formulas for the reflection --> RL and f.
    i just dont know what to do. Thank you.
    Last edited: Oct 4, 2005
  2. jcsd
  3. Oct 4, 2005 #2
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