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Orthogonal projection and reflection (matrices)

  1. Jan 27, 2015 #1
    1. The problem statement, all variables and given/known data
    [Imgur](http://i.imgur.com/VFT1haQ.png)

    2. Relevant equations
    reflection matrix = 2*projection matrix - Identity matrix

    3. The attempt at a solution
    Using the above equation, I get that B is the projection matrix and E is the reflection matrix.
    Can someone please verify if this is indeed the correct procedure?
     
  2. jcsd
  3. Jan 29, 2015 #2

    RUber

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    Homework Helper

    Your justification for the projection matrix might need some fleshing out.
    The equation for the reflection matrix justifies your choice of E if you can show that B is a projection matrix.
     
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