Invertibility of Matrices of Field Elements

• Autorzy: Yatsuka Nakamura , Kunio Oniumi , Wenpai Chang
• Języki publikacji: EN

Abstrakty

EN

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

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2008
• Tom: 16
• Numer: 2
• Strony: 195-202

Daty

wydano

2008-01-01

online

2009-03-20

Twórcy

autor

Yatsuka Nakamura

• Shinshu University, Nagano, Japan

autor

Kunio Oniumi

• Shinshu University, Nagano, Japan

autor

Wenpai Chang

• Nan Kai Institute of Technology, Nantou County, Taiwan

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-008-0025-z