Invertibility of Matrices of Field Elements

Yatsuka Nakamura; Kunio Oniumi; Wenpai Chang

doi:10.2478/v10037-008-0025-z

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Invertibility of Matrices of Field Elements

Formalized Mathematics

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

By: Yatsuka Nakamura, Kunio Oniumi and Wenpai Chang

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

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