Results 1 to 3 of 3

Math Help - Matrix not diagonalizable over C

  1. #1
    Newbie
    Joined
    Mar 2010
    Posts
    3

    Matrix not diagonalizable over C

    Hi my question is

    Find all the values of k for which the matrix

    0, 1, 0
    0, 0, 1
    0, -k-2, k+3

    is not diagonalizable over C. i understand how to diagonlize matrices but i do
    not understand what values of k make the above statement true.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Moo
    Moo is offline
    A Cute Angle Moo's Avatar
    Joined
    Mar 2008
    From
    P(I'm here)=1/3, P(I'm there)=t+1/3
    Posts
    5,618
    Thanks
    6
    Hello,

    I think you have no other choice than finding the characteristic polynomial and the eigenvalues.
    Then find k such that at least one of the eigenspaces has a dimension < to the order of multiplicity of the eigenvalue...
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2010
    Posts
    3
    Quote Originally Posted by Moo View Post
    Hello,

    I think you have no other choice than finding the characteristic polynomial and the eigenvalues.
    Then find k such that at least one of the eigenspaces has a dimension < to the order of multiplicity of the eigenvalue...
    Does that mean that the eigenvector corresponding to that eigenvalue has more parameters than does the multiplicity of the eigenvalue?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. How to tell if a matrix is diagonalizable?
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: May 14th 2011, 08:41 PM
  2. diagonalizable 2x2 matrix
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: May 24th 2010, 04:30 PM
  3. non-diagonalizable matrix help?
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: November 28th 2009, 08:30 PM
  4. Diagonalizable matrix
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: July 26th 2009, 05:57 PM
  5. Replies: 0
    Last Post: March 20th 2008, 10:27 AM

Search Tags


/mathhelpforum @mathhelpforum