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Changed the S to S' transformation as per the definition of the Givens rotation matrix by the related wikipedia article. A clear example can be seen here: http://physics.bc.edu/MSC/430/LINEAR_EIGEN/JacobiContinued.html |
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Let ''S'' be a symmetric matrix, and ''G'' = ''G''(''i'',''j'',''θ'') be a [[Givens rotation|Givens rotation matrix]]. Then:
:<math>S'=G
is symmetric and [[similar (linear algebra)|similar]] to ''S''.
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