Français
13. Similarity and congruence. Real symmetric matrices
13.1 General
Here we examine the link between similarity and congruence. The orthogonal group is defined by
Two real matrices A and B conjugate under the action of O (n) are both similar and congruent: the properties invariant by similarity and congruence are preserved for A and B.
The introduction in this context of Hermitian spaces and the unitary group is subtle and considerably simplifies the approach: it is of the same order as the passage of
The Ultimate Scientific and Technical Reference
This article is included in
Mathematics
This offer includes:
Knowledge Base
Updated and enriched with articles validated by our scientific committees
Services
A set of exclusive tools to complement the resources
Practical Path
Operational and didactic, to guarantee the acquisition of transversal skills
Doc & Quiz
Interactive articles with quizzes, for constructive reading
Similarity and congruence. Real symmetric matrices
A few summary examples
References
The Ultimate Scientific and Technical Reference
