Frobenius normal form

id: frobenius-normal-form-237-11356728
title: Frobenius normal form
text: In linear algebra, the Frobenius normal form or rational canonical form of a square matrix A with entries in a field F is a canonical form for matrices obtained by conjugation by invertible matrices over F. The form reflects a minimal decomposition of the vector space into subspaces that are cyclic for A. Since only one normal form can be reached from a given matrix, a matrix B is similar to A if and only if it has the same rational canonical form as A. Since this form can be found without any o
brand slug: wiki
category slug: encyclopedia
description: Canonical form of matrices over a field
original url: https://en.wikipedia.org/wiki/Frobenius_normal_form
date created:
date modified: 2024-01-31T14:45:21Z
main entity: {"identifier":"Q1469423","url":"https://www.wikidata.org/entity/Q1469423"}
image:
fields total: 13
integrity: 14

Related Entries

Explore Next Part