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Homework Help: Jordan Forms, Nullity and Minimal Polynomials

  1. Dec 2, 2011 #1
    1. The problem statement, all variables and given/known data
    Nullity(B-5I)=2 and Nullity(B-5I)^2=5
    Characteristic poly is: (λ-5)^12
    Find the possible jordan forms of B and the minimal polynomials for each of these JFs.

    3. The attempt at a solution
    JFs: Jn1(5) or ... or Jni(5).
    Not sure how to find these jordan forms and minimal polynomials.
     
  2. jcsd
  3. Dec 3, 2011 #2
    Bump
     
  4. Dec 4, 2011 #3

    HallsofIvy

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    Science Advisor

    What does "minimal polynomial" for a matrix mean? What do you know about the relation between the minimal polynomial of a matrix and its eigenvectors?
     
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