Results 1 to 2 of 2

Math Help - proving eigenvectors

  1. #1
    Junior Member
    Joined
    Oct 2008
    Posts
    65

    proving eigenvectors

    Assume T: V -> V and has eigenvector x belonging to an eigenvalue lambda. Prove x is an eigenvector of T^2 belonging to lambda^2.

    How should I start this?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2
    So, if you could prove T^{2}x=\lambda^{2}x, you'd be done, right? How could you do this?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Help with Eigenvectors
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: November 12th 2011, 01:22 PM
  2. Eigenvectors
    Posted in the Algebra Forum
    Replies: 2
    Last Post: January 14th 2010, 05:48 AM
  3. eigenvectors
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: November 16th 2009, 05:07 AM
  4. Eigenvectors
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: January 7th 2009, 03:35 AM
  5. Eigenvectors
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: January 6th 2009, 12:27 PM

Search Tags


/mathhelpforum @mathhelpforum