Matrix congruence

From Wikipedia, the free encyclopedia

You have new messages (last change).

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

PTAP = 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"