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Invertibility of Matrices of Field Elements Cover

Invertibility of Matrices of Field Elements

Open Access
|Mar 2009

Abstract

In this paper the theory of invertibility of matrices of field elements (see e.g. [5], [6]) is developed. The main purpose of this article is to prove that the left invertibility and the right invertibility are equivalent for a matrix of field elements. To prove this, we introduced a special transformation of matrix to some canonical forms. Other concepts as zero vector and base vectors of field elements are also introduced as a preparation.

MML identifier: MATRIX14, version: 7.9.01 4.101.1015

DOI: https://doi.org/10.2478/v10037-008-0025-z | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 195 - 202
Published on: Mar 20, 2009
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2009 Yatsuka Nakamura, Kunio Oniumi, Wenpai Chang, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 16 (2008): Issue 2 (June 2008)