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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

    PeroK

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    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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