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Homework Help: Jordan form question

  1. Jun 6, 2010 #1
    1. The problem statement, all variables and given/known data
    The question si to find the jordan form of the following, I think it is diagnizable and am wondering if i am misunderstanding something or if diagnizable is a subccase of jordan form:
    Anyway
    Given the vector space [tex] R_1[x] [/tex] i.e. the space of linear functions (a+bx) find the jordan form of the follwoing matrix
    [tex] T(a+bx)=2a+b+bx [/tex]
    I thinbk the matrix of T is
    [2 1]
    [0 1]
    Which means it has eigenvalues 2 and 1 with eigenvectors {1,0}. {1,-1}
    Is that correct or did I misunderstadn something?
    Thanks
    Tal


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Jun 6, 2010 #2

    Mark44

    Staff: Mentor

    Everything looks fine, Tal. If you write P using your eigenvectors as columns, and find P-1, P-1AP is a diagonal matrix.
     
  4. Jun 6, 2010 #3
    Thanks Mark
     
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