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Math Help - projections

  1. #1
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    projections

    Let \pi:V\to V be a linear transformation satisfying \pi^2=\pi. Prove that Pi is a projection of V onto the Image of Pi along the ker of Pi.

    I have no idea but I am guessing the idempotent property is important.
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  2. #2
    MHF Contributor Drexel28's Avatar
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    Re: projections

    Quote Originally Posted by dwsmith View Post
    I have no idea but I am guessing the idempotent property is important.
    You could, say that, it's eqiuvalent to being a projection. What have you tried?
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