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Homework Help: Relation between image(A) and image(A^2+A)

  1. Feb 20, 2015 #1
    1. The problem statement, all variables and given/known data
    1. What is the relation between the image of A and the image of A2 + A?
    2. Relevant equations

    3. The attempt at a solution

    im (A^2 + A) for x (A^2+A) is within the image. Linear combination properties show A^2 x + A x. Not sure where to go from here
  2. jcsd
  3. Feb 20, 2015 #2


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    Science Advisor
    Homework Helper
    Gold Member

    You need to start formalising your approach. You're really just writing down vague thoughts here!

    You are asked to compare two sets. So, start by taking ##x \in Im(A)## and/or ##x \in Im(A^2 + A)## and see what you get.
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