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A symmetric matrix is a Square Matrix which satisfies
where
denotes the
Transpose, so
. This also implies
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(1) |
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(2) |
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(3) |
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(4) |
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(5) |
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(6) |
See also Antisymmetric Matrix, Skew Symmetric Matrix
References
Nash, J. C. ``Real Symmetric Matrices.''
Ch. 10 in Compact Numerical Methods for Computers: Linear Algebra
and Function Minimisation, 2nd ed. Bristol, England: Adam Hilger, pp. 119-134, 1990.