nLab eigenspace


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



Paths and cylinders

Homotopy groups

Basic facts


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.

Last revised on August 29, 2013 at 22:53:43. See the history of this page for a list of all contributions to it.