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Formalized Mathematics

(a computer assisted approach)

Editor-in-Chief: Matuszewski, Roman

4 Issues per year


SCImago Journal Rank (SJR) 2016: 0.207
Source Normalized Impact per Paper (SNIP) 2016: 0.315

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ISSN
1898-9934
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Volume 14, Issue 1 (Jan 2006)

Issues

A Theory of Matrices of Real Elements

Yatsuka Nakamura
  • Shinshu University, Nagano, Japan
/ Nobuyuki Tamura
  • Shinshu University, Nagano, Japan
/ Wenpai Chang
  • Shinshu University, Nagano, Japan
Published Online: 2008-06-13 | DOI: https://doi.org/10.2478/v10037-006-0004-1

A Theory of Matrices of Real Elements

Here, the concept of matrix of real elements is introduced. This is defined as a special case of the general concept of matrix of a field. For such a real matrix, the notions of addition, subtraction, scalar product are defined. For any real finite sequences, two transformations to matrices are introduced. One of the matrices is of width 1, and the other is of length 1. By such transformations, two products of a matrix and a finite sequence are defined. Also the linearity of such product is shown.

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Published Online: 2008-06-13

Published in Print: 2006-01-01


Citation Information: Formalized Mathematics, ISSN (Online) 1898-9934, ISSN (Print) 1426-2630, DOI: https://doi.org/10.2478/v10037-006-0004-1.

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