Invertibility of Matrices of Field Elements
Yatsuka Nakamura ; Kunio Oniumi ; Wenpai Chang
Formalized Mathematics, Tome 16 (2008), p. 195-202 / Harvested from The Polish Digital Mathematics Library
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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

Publié le : 2008-01-01
EUDML-ID : urn:eudml:doc:267371 
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     author = {Yatsuka Nakamura and Kunio Oniumi and Wenpai Chang},
     title = {Invertibility of Matrices of Field Elements},
     journal = {Formalized Mathematics},
     volume = {16},
     year = {2008},
     pages = {195-202},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0025-z}
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Yatsuka Nakamura; Kunio Oniumi; Wenpai Chang. Invertibility of Matrices of Field Elements. Formalized Mathematics, Tome 16 (2008) pp. 195-202. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0025-z/

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