Results 1 to 3 of 3

Math Help - finding eigen values for nXn matrices

  1. #1
    MHF Contributor
    Joined
    Nov 2008
    Posts
    1,401

    finding eigen values for nXn matrices



    i dont know ho to make a trangle of zeros below the diagonal
    if i subtract the first column from the rest i get zeros below the diagonal.
    but the first column remain intact.

    what to do with it
    ?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor FernandoRevilla's Avatar
    Joined
    Nov 2010
    From
    Madrid, Spain
    Posts
    2,162
    Thanks
    45

    Re: finding eigen values for nXn matrices

    Using the trasformations (i) F_i\to F_i-F_1 for all i=2,\ldots,n and (ii) C_1\to C_1+C_2+\ldots+C_n :

    \det (A-\lambda I)=\begin{vmatrix} -\lambda & \;\;a & \ldots & \;\;a\\ \;\;a &-\lambda & \ldots & \;\;a \\ \vdots&&&\vdots \\\;\; a & \;\;a &\ldots & -\lambda\end{vmatrix}=\ldots=[(n-1)a-\lambda](-a-\lambda)^{n-1}
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Joined
    Nov 2008
    Posts
    1,401

    Re: finding eigen values for nXn matrices

    thanks
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Eigen values & eigen vectors of a 3 by 3..
    Posted in the Advanced Algebra Forum
    Replies: 5
    Last Post: October 9th 2011, 07:35 AM
  2. Finding unit eigen values and eigen vectors
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: April 11th 2011, 09:42 AM
  3. what are eigen values and eigen vectors
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: February 28th 2010, 07:14 AM
  4. Eigen Vectors and eigen values!
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: February 11th 2010, 06:29 AM
  5. Find the eigen values and eigen vector
    Posted in the Advanced Algebra Forum
    Replies: 13
    Last Post: November 24th 2009, 07:01 PM

Search Tags


/mathhelpforum @mathhelpforum