Results 1 to 2 of 2

Thread: Orthogonally diagonalize the symmetric matrix

  1. #1
    Junior Member
    Joined
    Feb 2006
    From
    Victoria, Australia
    Posts
    36

    Orthogonally diagonalize the symmetric matrix

    Im really lost on how to do these, i got no idea, can someone explain what i need to do to solve this, thanks


    Orthogonally diagonalize the symmetric matrix:

    0 1 0
    1 0 0
    0 0 3
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Newbie
    Joined
    May 2008
    Posts
    23
    I have no idea what the definition of "orthogonal diagonalise" is. To diagonalise this matrix $\displaystyle S$, you need to swap the role of the first and second column and keep third fixed, so use $\displaystyle P$
    0 1 0
    1 0 0
    0 0 1
    and you will see that $\displaystyle PSP^{-1}$ is a diagonal matrix. In case "orthogonal diagonalise" means $\displaystyle PP^t=I$, then this $\displaystyle P$ should work.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Finding diagonalize matrix
    Posted in the Advanced Algebra Forum
    Replies: 18
    Last Post: Nov 6th 2010, 10:07 AM
  2. Symmetric relation v.s. symmetric matrix
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: Oct 14th 2010, 11:37 PM
  3. Diagonalize unitary matrix
    Posted in the Advanced Algebra Forum
    Replies: 2
    Last Post: Dec 9th 2009, 08:08 PM
  4. How do I orthogonally diagonalize a matrix?
    Posted in the Advanced Algebra Forum
    Replies: 1
    Last Post: Jul 23rd 2009, 10:33 AM
  5. Orthogonally diagonalize the matrix
    Posted in the Advanced Algebra Forum
    Replies: 6
    Last Post: Apr 22nd 2009, 02:39 AM

Search Tags


/mathhelpforum @mathhelpforum