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For a linear mapping F, how do I define F^2?

  1. Nov 7, 2013 #1
    Hi. This is a homework question, so I can't ask or give out too much info.

    SO, there is a linear mapping F, and it is given that F=F^2.

    Can I assume that everything about F, i.e. dimension, kernel, image, etc, is exactly the same for F^2? Or does it just mean that given a vector v, F(v) = F(F(v))?

    Thank you
     
  2. jcsd
  3. Nov 7, 2013 #2

    Dick

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    It means F(v)=F(F(v)).
     
  4. Nov 7, 2013 #3

    tiny-tim

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    hi stgermaine! :smile:

    if F = F2, F is called a projection

    think how an "ordinary" projection, say from 3D to a plane or a line, works :wink:
     
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