Results 1 to 4 of 4

Math Help - solving for these eigenvalues

  1. #1
    Member
    Joined
    Nov 2008
    Posts
    146

    solving for these eigenvalues

    Hi there, i want to find the eigenvalues for the given matrix

    2 0 -2
    0 -1 0
    -2 0 -1

    so doing the basic steps. det(A - lamda i)

    after finding the determinant i get

    -L^3 + 7L + 6

    L = lambda

    cant figure out a way to factor that cubic.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    29

    Re: solving for these eigenvalues

    What happens when \lambda = -1 ?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Nov 2008
    Posts
    146

    Re: solving for these eigenvalues

    oh, so that makes it 0, but couldn't there be other solutions as well?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    29

    Re: solving for these eigenvalues

    Yep, you can find them as follows

    \displaystyle \frac{-\lambda^3 + 7\lambda + 6}{\lambda+1} = \cdots
    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 16th 2010, 04:51 AM
  2. Eigenvalues and Solving Differential Equations
    Posted in the Differential Equations Forum
    Replies: 0
    Last Post: April 1st 2010, 12:26 PM
  3. Eigenvalues
    Posted in the Advanced Algebra Forum
    Replies: 3
    Last Post: December 7th 2008, 11:30 AM
  4. eigenvalues
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: December 7th 2008, 04:08 AM
  5. eigenvalues
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 12th 2008, 11:12 PM

Search Tags


/mathhelpforum @mathhelpforum