REPOZYTORIUM UNIWERSYTETU
W BIAŁYMSTOKU
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dc.contributor.authorNakamura, Yatsuka-
dc.contributor.authorOniumi, Kunio-
dc.contributor.authorChang, Wenpai-
dc.date.accessioned2026-09-15T10:11:29Z-
dc.date.available2026-09-15T10:11:29Z-
dc.date.issued2008-
dc.identifier.citationFormalized Mathematics, Volume 16, Issue 2, 2008, Pages 195-202pl
dc.identifier.issn1426-2630-
dc.identifier.urihttp://hdl.handle.net/11320/21029-
dc.description.abstractIn 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.pl
dc.language.isoenpl
dc.publisherUniversity of Białystokpl
dc.rights.urihttps://creativecommons.org/licenses/by-sa/4.0/-
dc.titleInvertibility of Matrices of Field Elementspl
dc.typeArticlepl
dc.rights.holder© 2009 Yatsuka Nakamura, Kunio Oniumi, Wenpai Chang, published by University of Białystokpl
dc.rights.holderThis work is licensed under the Creative Commons Licensepl
dc.identifier.doi10.2478/v10037-008-0025-z-
dc.description.AffiliationYatsuka Nakamura - Shinshu University Nagano, Japanpl
dc.description.AffiliationKunio Oniumi - Shinshu University Nagano, Japanpl
dc.description.AffiliationWenpai Chang - Nan Kai Institute of Technology Nantou County, Taiwanpl
dc.description.referencesGrzegorz Bancerek and Krzysztof Hryniewiecki. Segments of natural numbers and finite sequences. Formalized Mathematics, 1(1):107–114, 1990.pl
dc.description.referencesCzesław Byliński. Finite sequences and tuples of elements of a non-empty sets. Formalized Mathematics, 1(3):529–536, 1990.pl
dc.description.referencesCzesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.pl
dc.description.referencesCzesław Byliński. Partial functions. Formalized Mathematics, 1(2):357–367, 1990.pl
dc.description.referencesShigeru Furuya. Matrix and Determinant. Baifuukan (in Japanese), 1957.pl
dc.description.referencesFelix R. Gantmacher. The Theory of Matrices. AMS Chelsea Publishing, 1959.pl
dc.description.referencesKatarzyna Jankowska. Matrices. Abelian group of matrices. Formalized Mathematics, 2(4):475–480, 1991.pl
dc.description.referencesEugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335–342, 1990.pl
dc.description.referencesTakaya Nishiyama and Yasuho Mizuhara. Binary arithmetics. Formalized Mathematics, 4(1):83–86, 1993.pl
dc.description.referencesAndrzej Trybulec. Binary operations applied to functions. Formalized Mathematics, 1(2):329–334, 1990.pl
dc.description.referencesWojciech A. Trybulec. Binary operations on finite sequences. Formalized Mathematics, 1(5):979–981, 1990.pl
dc.description.referencesWojciech A. Trybulec. Groups. Formalized Mathematics, 1(5):821–827, 1990.pl
dc.description.referencesWojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291–296, 1990.pl
dc.description.referencesZinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67–71, 1990.pl
dc.description.referencesHiroshi Yamazaki, Yoshinori Fujisawa, and Yatsuka Nakamura. On replace function and swap function for finite sequences. Formalized Mathematics, 9(3):471–474, 2001.pl
dc.description.referencesXiaopeng Yue, Xiquan Liang, and Zhongpin Sun. Some properties of some special matrices. Formalized Mathematics, 13(4):541–547, 2005pl
dc.description.referencesKatarzyna Zawadzka. The sum and product of finite sequences of elements of a field. Formalized Mathematics, 3(2):205–211, 1992.pl
dc.description.referencesKatarzyna Zawadzka. The product and the determinant of matrices with entries in a field. Formalized Mathematics, 4(1):1–8, 1993.pl
dc.identifier.eissn1898-9934-
dc.description.firstpage195pl
dc.description.lastpage202pl
dc.identifier.citation2Formalized Mathematicspl
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