Uniqueness of row echelon form
type: Item
instance of: scholarly article
title: Uniqueness of row echelon form
zbMATH Open document ID: 1033.15007
author: Yuhua Wang
author: David B. Surowski
published in: Missouri Journal of Mathematical Sciences
publication date: 2004-03-29T00:00:00Z
review text: It is known that any matrix is row-equivalent to a matrix in row echelon form. However, while linear algebra or matrix theory textbooks often assert the uniqueness of the row echelon form of a matrix, relatively few actually provide a proof. The paper gives a new proof of the uniqueness of the row echelon form of a matrix. The present approach is based on more holistic properties of matrix products, the key ingredient being the notion of Hermite normal form.
Mathematics Subject Classification ID: 15A21
zbMATH DE Number: 1982151
zbMATH Keywords: row echelon form of a matrix
zbMATH Keywords: matrix products
zbMATH Keywords: Hermite normal form
reviewed by: Rodica Covaci
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1982151