Generalized eigenvector
id:
generalized-eigenvector-207-11839274
title:
Generalized eigenvector
text:
In linear algebra, a generalized eigenvector of an n × n matrix A is a vector which satisfies certain criteria which are more relaxed than those for an (ordinary) eigenvector. Let V be an n
-dimensional vector space and let A be the matrix representation of a linear map from V to V with respect to some ordered basis. There may not always exist a full set of n linearly independent eigenvectors of A that form a complete basis for V. That is, the matrix A may not be diagonalizable. This happens whe
brand slug:
wiki
category slug:
encyclopedia
description:
Vector satisfying some of the criteria of an eigenvector
original url:
https://en.wikipedia.org/wiki/Generalized_eigenvector
date created:
2004-11-06T08:38:47Z
date modified:
2024-09-11T02:16:24Z
main entity:
{"identifier":"Q970767","url":"https://www.wikidata.org/entity/Q970767"}
image:
fields total:
13
integrity:
15