# nLab eigenspace

## Theorems

For $E : V \to V$ a linear operator on a finite dimensional vector space (which can be identified with a matrix), an eigenspace of $E$ is a subspace of $V$ on which $E$ 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)