Diagonalizable matrix
id:
diagonalizable-matrix-180-16772187
title:
Diagonalizable matrix
text:
In linear algebra, a square matrix A is called diagonalizable or non-defective if it is similar to a diagonal matrix. That is, if there exists an invertible matrix P and a diagonal matrix D such that P − 1 A P = D. This is equivalent to A = P D P − 1. This property exists for any linear map: for a finite-dimensional vector space V, a linear map T : V → V is called diagonalizable if there exists an ordered basis of V consisting of eigenvectors of T. These definitions are equivalent: if T has
brand slug:
wiki
category slug:
encyclopedia
description:
Matrices similar to diagonal matrices
original url:
https://en.wikipedia.org/wiki/Diagonalizable_matrix
date created:
2003-04-27T09:48:45Z
date modified:
2024-09-05T17:10:27Z
main entity:
{"identifier":"Q1767080","url":"https://www.wikidata.org/entity/Q1767080"}
image:
fields total:
13
integrity:
15