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Math Help - Orthogonally diagonalize the symmetric matrix

  1. #1
    Junior Member
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    Victoria, Australia
    Posts
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    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
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  2. #2
    Newbie
    Joined
    May 2008
    Posts
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    I have no idea what the definition of "orthogonal diagonalise" is. To diagonalise this matrix S, you need to swap the role of the first and second column and keep third fixed, so use P
    0 1 0
    1 0 0
    0 0 1
    and you will see that PSP^{-1} is a diagonal matrix. In case "orthogonal diagonalise" means PP^t=I, then this P should work.
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