Results 1 to 2 of 2

Math Help - Eigenvalues of a traceless symmetric tensor?

  1. #1
    Junior Member
    Joined
    Apr 2009
    Posts
    70

    Eigenvalues of a traceless symmetric tensor?

    Hi.

    I was under the impression that the trace of a tensor was equal to the sum of its eigenvalues. So what do the eigenvalues of a traceless tensor mean?

    Thanks

    B
    Follow Math Help Forum on Facebook and Google+

  2. #2
    A Plied Mathematician
    Joined
    Jun 2010
    From
    CT, USA
    Posts
    6,318
    Thanks
    4
    Awards
    2

    re: Eigenvalues of a traceless symmetric tensor?

    Quote Originally Posted by Bwts View Post
    Hi.

    I was under the impression that the trace of a tensor was equal to the sum of its eigenvalues. So what do the eigenvalues of a traceless tensor mean?

    Thanks

    B
    Someone can correct me if I'm wrong (as they always can), but if I understand correctly, all this means is that the eigenvalues have a complex sum to zero. The sum of all the imaginary parts of the eigenvalues is zero, and the sum of all the real parts of the eigenvalues is zero.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: April 5th 2013, 09:23 PM
  2. [SOLVED] eigenvalues of symmetric matrix
    Posted in the Advanced Algebra Forum
    Replies: 4
    Last Post: October 19th 2010, 06:05 AM
  3. Symmetric relation v.s. symmetric matrix
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: October 15th 2010, 12:37 AM
  4. verify that a skew symmetric tensor transforms ?
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: June 6th 2010, 07:29 AM
  5. Matrices represented by Symmetric/Skew Symmetric Matrices
    Posted in the Advanced Algebra Forum
    Replies: 7
    Last Post: October 25th 2008, 06:06 PM

Search Tags


/mathhelpforum @mathhelpforum