nLab
symmetric matrix

Contents

Context

Linear algebra

homotopy theory, (∞,1)-category theory, homotopy type theory

flavors: stable, equivariant, rational, p-adic, proper, geometric, cohesive, directed

models: topological, simplicial, localic, …

see also algebraic topology

Introductions

Definitions

Paths and cylinders

Homotopy groups

Basic facts

Theorems

Contents

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

Created on December 31, 2018 at 05:22:33. See the history of this page for a list of all contributions to it.