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Finding the Kernel

  1. Dec 1, 2013 #1
    I have a linear transformation P:z→z
    I want to show the Kernel (p) is a subset of the kernel (P ° P)

    I know that the composite function is defined by (P ° P)(x)=P(P(x))

    Where do I begin with this?
    To find ker(P) I would do P(x)=0 but I am not sure how I would do this here.

    What steps should I follow?
     
  2. jcsd
  3. Dec 1, 2013 #2
    We want to find elements ##x## such that ##P(x)\in\operatorname{ker}(P)##. Is 0 such an element?
     
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