Eigenvalue

Revision as of 12:39, 2 March 2010 by Azjps (talk | contribs) (create)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

In linear algebra, an eigenvector of a linear map $L$ refers to a non-zero vector such that applying $L$ to this vector does not change the direction of the vector. In other words, $L \bold{v} = \lambda \bold{v}$ for some scalar constant $\lambda$. Here, $\lambda$ is known as the eigenvalue. The eigenspace of an eigenvalue refers to the set of all eigenvectors that correspond with that eigenvalue, and is a vector space.

This article is a stub. Help us out by expanding it.