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  *The right-singular vectors of M are a set of orthonormal eigenvectors of <math>M^*M</math>.
 
  *The right-singular vectors of M are a set of orthonormal eigenvectors of <math>M^*M</math>.
 
  *The non-zero singular values of M (found on the diagonal entries of Σ) are the square roots of the non-zero eigenvalues of both <math>M^*M</math> and <math>MM^*</math>.
 
  *The non-zero singular values of M (found on the diagonal entries of Σ) are the square roots of the non-zero eigenvalues of both <math>M^*M</math> and <math>MM^*</math>.
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==Examples==
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==See Also==
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*[[Manuals/calci/LUDECOMPOSITION  | LUDECOMPOSITION ]]
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*[[Manuals/calci/CHOLESKYFACTORIZATION | CHOLESKYFACTORIZATION ]]
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*[[Manuals/calci/QRDECOMPOSITION | QRDECOMPOSITION ]]
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==References==
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*[https://en.wikipedia.org/wiki/Singular_value_decomposition  Decomposition]
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*[[Z_API_Functions | List of Main Z Functions]]
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*[[ Z3 |  Z3 home ]]
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