Matrix congruence

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In mathematics, two matrices A and B with real entries are called congruent if there exists an invertible matrix P with real entries such that

P^TAP = B

where "T" denotes the matrix transpose. Sylvester's law of inertia states that two congruent symmetric real matrices have the same numbers of positive, negative, and zero eigenvalues.

This mathematics-related article is a stub. You can help Wikipedia by expanding it.

Retrieved from "http://en.wikipedia.org../../../m/a/t/Matrix_congruence.html"

Categories: Mathematics stubs | Linear algebra

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• This page was last modified 18:26, 30 March 2007 by Anonymous user(s) of Wikipedia. Based on work by Wikipedia user(s) Oleg Alexandrov, Where and Bluemoose.
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