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Math Help - Finding SVD for a square, symmetric matrix?

  1. #1
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    Finding SVD for a square, symmetric matrix?

    Is there any special technique to find the SVD for a square, symmetric, 3x3 matrix?
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  2. #2
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    The only technique I know is to find the eigenvalues and eigenvectors. The singular value decomposition of the square matrix A is the factorisation A=P^{\,\textsc{t}}DP, where D is the diagonal matrix whose entries are the eigenvalues of A, and P is the orthogonal matrix whose columns are the corresponding normalised eigenvectors.
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