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Homework Help: Jordan form Question

  1. Apr 12, 2010 #1
    1. The problem statement, all variables and given/known data

    find the jordan form of:
    [tex] 0 1 0 ... 0 [/tex]
    [tex] 0 0 1 ... 0 [/tex]
    [tex] 0 0 0 \ddots [/tex]
    [tex] 0 0 0 ... 1 [/tex]
    [tex] 1 0 0 ... 0 [/tex]

    2. Relevant equations
    Hint: prove that A^n=ID and then blah blah blah.


    3. The attempt at a solution
    I assumed that A^n = ID and then i could solve it. i have no idea how to prove that A^n=ID. any help on that would be great.
     
    Last edited: Apr 12, 2010
  2. jcsd
  3. Apr 12, 2010 #2

    lanedance

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    Homework Helper

    i'm assuming A is your matrix?

    consider any nxn matrix, say B and consider the results of the multiplcation B.A on the columns of B...
     
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