Results 1 to 4 of 4

Math Help - Jordan Normal Forms

  1. #1
    Newbie
    Joined
    Oct 2012
    From
    Lancaster
    Posts
    20

    Jordan Normal Forms

    I am trying to revise for a test and i cannot get this question. And i have know idea where to start.

    Question
    Find the JNF for the matrix of the linear transformation T: P2 --> P2 given by T(p(x)) = p(x+1)

    Thankss any help is appreciated. I not great at JNF
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,619
    Thanks
    592

    Re: Jordan Normal Forms

    Hey Matt1993.

    Just out of curiosity, what is the space P2?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    2,356
    Thanks
    909

    Re: Jordan Normal Forms

    I'm gonna guess that's the space of 2nd order polynomials
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    2,356
    Thanks
    909

    Re: Jordan Normal Forms

    Quote Originally Posted by Matt1993 View Post
    I am trying to revise for a test and i cannot get this question. And i have know idea where to start.

    Question
    Find the JNF for the matrix of the linear transformation T: P2 --> P2 given by T(p(x)) = p(x+1)

    Thankss any help is appreciated. I not great at JNF
    eh I think the easiest way to go about this is just brute force it.

    let p(x) = a0 + a1 x + a2 x2

    p(x+1) = (a0+a1+a2) + (a1 + 2 a2) x + a2 x2

    In other words

    T(p) =\left(\begin{array}{ccc}1 & 1 & 1\\0 & 1 & 2\\0 & 0 & 1\end{array}\right)

    you can mull on that if it helps while I read up on JCF.

    The next step is to find the eigenvalues and vectors for this matrix.
    Last edited by romsek; December 10th 2013 at 10:11 PM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. [SOLVED] Prenex Normal Forms
    Posted in the Discrete Math Forum
    Replies: 5
    Last Post: October 11th 2011, 12:26 PM
  2. jordan forms
    Posted in the Advanced Algebra Forum
    Replies: 8
    Last Post: October 3rd 2011, 01:10 PM
  3. Linear algebra: Jordan forms & eigenvectors
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: May 3rd 2011, 05:14 AM
  4. Jordan Normal Forms
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: March 27th 2010, 03:01 PM
  5. Jordan Forms of 6x6 matrix
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: May 2nd 2009, 08:42 AM

Search Tags


/mathhelpforum @mathhelpforum