Difference between revisions of "Eigenvalue"
Jump to navigation
Jump to search
m (cat) |
(almost word for word the same as eigenvector) |
||
| Line 1: | Line 1: | ||
| + | {{merge|eigenvector}} | ||
An '''eigenvalue''' of a square [[matrix]] <math>A</math> is a [[complex number]] <math>\lambda</math> such that | An '''eigenvalue''' of a square [[matrix]] <math>A</math> is a [[complex number]] <math>\lambda</math> such that | ||
Revision as of 02:54, July 2, 2008
It has been suggested that this article or section be merged with [[::eigenvector|eigenvector]]. (Discuss)
An eigenvalue of a square matrix is a complex number such that
for some vector known as a eigenvector. The eigenvalue is the zero of a matrix's charateristic polynomial.
All the eigenvectors of a particular eigenvalue span a vector space called the eigenspace.