Symmetric matrix: Difference between revisions

Revision as of 09:27, 6 August 2005

Revision as of 10:55, 6 August 2005

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:<math>\langle Ax,y \rangle = \langle x, Ay\rangle \quad \mbox{for all }x,y\in\Bbb{R}^n</math>.

Using the [[Jordan normal form]], one can prove that every square real matrix can be written as a product of two real symmetric matrices, and every square complex matrix can be written as a product of two complex symmetric matrices. [(Bosch, 1986])

== Occurrence ==

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== References ==

* {{Journal reference | Author=A. J. Bosch. "| Title=The factorization of a square matrix into two symmetric matrices", ''| Journal=American Mathematical Monthly'' Vol| Year=1986 | Volume=93 pp.| Pages=462-464 (1986)}}

[[Category:Matrices]]