Determinant and Inverse of Matrices of Real Elements

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

Abstrakty

EN

In this paper the classic theory of matrices of real elements (see e.g. [12], [13]) is developed. We prove selected equations that have been proved previously for matrices of field elements. Similarly, we introduce in this special context the determinant of a matrix, the identity and zero matrices, and the inverse matrix. The new concept discussed in the case of matrices of real numbers is the property of matrices as operators acting on finite sequences of real numbers from both sides. The relations of invertibility of matrices and the "onto" property of matrices as operators are discussed.

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2007
• Tom: 15
• Numer: 3
• Strony: 127-136

Daty

wydano

2007-01-01

online

2008-06-09

Twórcy

autor

Nobuyuki Tamura

• Shinshu University, Nagano, Japan

autor

Yatsuka Nakamura

• Shinshu University, Nagano, Japan

Bibliografia

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Identyfikatory

DOI

10.2478/v10037-007-0014-7