A Theory of Matrices of Real Elements

• Autorzy: Yatsuka Nakamura , Nobuyuki Tamura , Wenpai Chang
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2006
• Tom: 14
• Numer: 1
• Strony: 21-28

Daty

wydano

2006-01-01

online

2008-06-13

Twórcy

autor

Yatsuka Nakamura

• Shinshu University, Nagano, Japan

autor

Nobuyuki Tamura

• Shinshu University, Nagano, Japan

autor

Wenpai Chang

• Shinshu University, Nagano, Japan

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-006-0004-1