Results 1 to 3 of 3

Math Help - Prove zero vector

  1. #1
    Senior Member
    Joined
    Jan 2010
    Posts
    273

    Prove zero vector

    Let \lambda and \mu be distinct eigenvalues for T:R^n-->R^n and let the corresponding eigenspaces be V_\lambda and V_\mu respectively. Prove that the only vector common to both V_\lambda and V_\mu is the zero vector.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Bruno J.'s Avatar
    Joined
    Jun 2009
    From
    Canada
    Posts
    1,266
    Thanks
    1
    Awards
    1
    What do you get if you apply T to a vector lying in the intersection?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Jan 2010
    Posts
    232
    Look at this topic:

    http://www.mathhelpforum.com/math-he...ro-vector.html

    I already asked the question earlier and had it answered.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. prove that a set V is a vector space
    Posted in the Advanced Algebra Forum
    Replies: 20
    Last Post: December 22nd 2011, 03:51 PM
  2. Prove that vj must be the zero vector
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: April 13th 2010, 12:48 PM
  3. Replies: 4
    Last Post: February 2nd 2010, 12:22 PM
  4. Prove-vector
    Posted in the Geometry Forum
    Replies: 4
    Last Post: July 25th 2006, 12:26 PM
  5. Replies: 1
    Last Post: August 8th 2005, 01:38 PM

Search Tags


/mathhelpforum @mathhelpforum