# Invertibility of Matrices of Field Elements

Yatsuka Nakamura; Kunio Oniumi; Wenpai Chang

Formalized Mathematics (2008)

- Volume: 16, Issue: 2, page 195-202
- ISSN: 1426-2630

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topYatsuka Nakamura, Kunio Oniumi, and Wenpai Chang. "Invertibility of Matrices of Field Elements." Formalized Mathematics 16.2 (2008): 195-202. <http://eudml.org/doc/267371>.

@article{YatsukaNakamura2008,

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},

author = {Yatsuka Nakamura, Kunio Oniumi, Wenpai Chang},

journal = {Formalized Mathematics},

language = {eng},

number = {2},

pages = {195-202},

title = {Invertibility of Matrices of Field Elements},

url = {http://eudml.org/doc/267371},

volume = {16},

year = {2008},

}

TY - JOUR

AU - Yatsuka Nakamura

AU - Kunio Oniumi

AU - Wenpai Chang

TI - Invertibility of Matrices of Field Elements

JO - Formalized Mathematics

PY - 2008

VL - 16

IS - 2

SP - 195

EP - 202

AB - 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

LA - eng

UR - http://eudml.org/doc/267371

ER -

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