1. Limited time only! Sign up for a free 30min personal 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 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


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