1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    Staff Emeritus
    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?
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Jordan Forms, Nullity and Minimal Polynomials
  1. Minimal Polynomial (Replies: 7)

  2. Jordan Forms (Replies: 3)

  3. The minimal polynomial (Replies: 2)

  4. Minimal polynomial (Replies: 3)

Loading...