nLab
eigenspace

Context

Higher 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

For E:VVE : V \to V a linear operator on a finite dimensional vector space (which can be identified with a matrix), an eigenspace of EE is a subspace of VV on which EE acts via multiplication by some fixed element in the ground field, the corresponding eigenvalue.

Revised on August 29, 2013 22:53:43 by Urs Schreiber (89.204.139.41)