Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Help Symmetric matrix

  1. Dec 18, 2009 #1
    Help!!!! Symmetric matrix

    I know that all the eigenvalues of a real symmetric matrix are real numbers.
    Now can anyone help out how to prove that "all the eigenvalues of a row-normalized real symmetric matrix are real numbers"? Thank you~~~
     
  2. jcsd
  3. Dec 18, 2009 #2

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Re: Help!!!! Symmetric matrix

    ?? A "row normalized" symmetric matrix is still a symmetric matrix. Just use the same proof as for any symmetric matrix.
     
  4. Dec 18, 2009 #3

    CompuChip

    User Avatar
    Science Advisor
    Homework Helper

    Re: Help!!!! Symmetric matrix

    Also note this thread.
     
  5. Dec 30, 2009 #4
    Re: Help!!!! Symmetric matrix

    hi everyone plz tell me an algorithm for finding if a matrix is symmetric or not
     
  6. Dec 30, 2009 #5

    HallsofIvy

    User Avatar
    Staff Emeritus
    Science Advisor

    Re: Help!!!! Symmetric matrix

    What's wrong with the obvious one:

    Answer= "symmetric"
    For i= 1 to n-1
    {
    For j= i+1 to n
    if [itex]a_{ij}\ne a_{ji}[/itex]
    {
    Answer= "not symmetric"
    exit loops
    }
    }
    report Answer.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Help Symmetric matrix
  1. Skew Symmetric Matrix (Replies: 7)

  2. Non-symmetric matrix (Replies: 1)

Loading...