Results 1 to 2 of 2

Math Help - Eigenvalues

  1. #1
    Newbie
    Joined
    Feb 2011
    Posts
    11

    Eigenvalues

    Α1, A2, …An are the eigenvectors of A (with algebraic multiplicity) the 1/A1, 1/A2, …,1/A n are the eigenvalues of A^-1 (with algebraic multiplicity)


    how would i show this? any suggestions?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member Tinyboss's Avatar
    Joined
    Jul 2008
    Posts
    433
    I assume you meant "eigenvalues", not "eigenvectors". Hint: Consider the action of AA^{-1} on an eigenvector of A.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Eigenvalues
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: April 27th 2010, 02:08 PM
  2. Eigenvalues
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: November 6th 2009, 07:27 AM
  3. eigenvalues
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: December 7th 2008, 04:08 AM
  4. Eigenvalues
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: December 3rd 2008, 11:35 AM
  5. Eigenvalues
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: October 30th 2008, 08:11 PM

Search Tags


/mathhelpforum @mathhelpforum