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Eigenspaces dimension help

  1. Oct 13, 2016 #1
    1. The problem statement, all variables and given/known data

    For c not equal to ±1, what is the dimension of the eigenspaces of A

    The characteristic polynomial of A is (x-1)(x+1)(x-c)

    3. The attempt at a solution

    each term in the characteristic polynomial has a multiplicity of 1 so does this mean that the dimension of the eigenspaces is also 1?
  2. jcsd
  3. Oct 13, 2016 #2


    Staff: Mentor

    Thread moved. Questions about eigenspaces and the like are well beyond the precalculus level.
    Yes, I believe so. Do you know why they specified that c ≠ 1 and c ≠ -1?
  4. Oct 13, 2016 #3
    because it would change the multiplicity of the polynomial
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