nLab symmetric matrix

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Definition

A square matrix AA is called symmetric if it is equal to its own transpose matrix: A=A TA = A^T.

Symmetric matrices correspond to symmetric bilinear forms. Accordingly a symmetric matrix is called a positive or negative (semi-)definite matrix if the corresponding bilinear form is such (see there).

References

See also

Last revised on October 19, 2022 at 07:22:58. See the history of this page for a list of all contributions to it.