Results 1 to 1 of 1

Thread: Linear Algebra - Minimal polynomial

  1. #1
    Newbie
    Joined
    Jul 2010
    Posts
    1

    Question Linear Algebra - Minimal polynomial

    Hello,

    How can I prove the following claim:
    Let A be a matrix n x n, on the Rational field. (A belongs to Mn(R))
    => fA | mA^n

    (fA = the characteristic polynomial of the matrix A, mA = the minimal polynomial of A)



    thank you very much
    David
    Last edited by DavidMojo; Jul 19th 2010 at 05:05 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Minimal Polynomial
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: Mar 4th 2010, 09:52 PM
  2. Minimal polynomial
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: Oct 7th 2009, 08:34 PM
  3. Replies: 4
    Last Post: Sep 18th 2009, 09:29 AM
  4. Minimal Polynomial
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: Mar 27th 2009, 11:40 AM
  5. Minimal Polynomial....
    Posted in the Advanced Algebra Forum
    Replies: 0
    Last Post: Mar 11th 2009, 09:04 AM

Search Tags


/mathhelpforum @mathhelpforum