# A Theory of Matrices of Real Elements

Yatsuka Nakamura; Nobuyuki Tamura; Wenpai Chang

Formalized Mathematics (2006)

- Volume: 14, Issue: 1, page 21-28
- ISSN: 1426-2630

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topYatsuka Nakamura, Nobuyuki Tamura, and Wenpai Chang. "A Theory of Matrices of Real Elements." Formalized Mathematics 14.1 (2006): 21-28. <http://eudml.org/doc/267519>.

@article{YatsukaNakamura2006,

abstract = {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.},

author = {Yatsuka Nakamura, Nobuyuki Tamura, Wenpai Chang},

journal = {Formalized Mathematics},

language = {eng},

number = {1},

pages = {21-28},

title = {A Theory of Matrices of Real Elements},

url = {http://eudml.org/doc/267519},

volume = {14},

year = {2006},

}

TY - JOUR

AU - Yatsuka Nakamura

AU - Nobuyuki Tamura

AU - Wenpai Chang

TI - A Theory of Matrices of Real Elements

JO - Formalized Mathematics

PY - 2006

VL - 14

IS - 1

SP - 21

EP - 28

AB - 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.

LA - eng

UR - http://eudml.org/doc/267519

ER -

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## Citations in EuDML Documents

top- Bo Zhang, Yatsuka Nakamura, The Definition of Finite Sequences and Matrices of Probability, and Addition of Matrices of Real Elements
- Xiquan Liang, Fuguo Ge, Xiaopeng Yue, Some Special Matrices of Real Elements and Their Properties
- Bo Zhang, Yatsuka Nakamura, Definition and some Properties of Information Entropy
- Nobuyuki Tamura, Yatsuka Nakamura, Determinant and Inverse of Matrices of Real Elements

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