Defective matrix
id:
defective-matrix-241-2755787
title:
Defective matrix
text:
In linear algebra, a defective matrix is a square matrix that does not have a complete basis of eigenvectors, and is therefore not diagonalizable. In particular, an n × n matrix is defective if and only if it does not have n linearly independent eigenvectors. A complete basis is formed by augmenting the eigenvectors with generalized eigenvectors, which are necessary for solving defective systems of ordinary differential equations and other problems. An n × n defective matrix always has fewer tha
brand slug:
wiki
category slug:
encyclopedia
description:
Non-diagonalizable matrix; one lacking a basis of eigenvectors
original url:
https://en.wikipedia.org/wiki/Defective_matrix
date created:
date modified:
2024-02-14T15:39:07Z
main entity:
{"identifier":"Q5251123","url":"https://www.wikidata.org/entity/Q5251123"}
image:
fields total:
13
integrity:
14