# Determinant and Inverse of Matrices of Real Elements

Nobuyuki Tamura; Yatsuka Nakamura

Formalized Mathematics (2007)

- Volume: 15, Issue: 3, page 127-136
- ISSN: 1426-2630

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topNobuyuki Tamura, and Yatsuka Nakamura. "Determinant and Inverse of Matrices of Real Elements." Formalized Mathematics 15.3 (2007): 127-136. <http://eudml.org/doc/266534>.

@article{NobuyukiTamura2007,

abstract = {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.},

author = {Nobuyuki Tamura, Yatsuka Nakamura},

journal = {Formalized Mathematics},

language = {eng},

number = {3},

pages = {127-136},

title = {Determinant and Inverse of Matrices of Real Elements},

url = {http://eudml.org/doc/266534},

volume = {15},

year = {2007},

}

TY - JOUR

AU - Nobuyuki Tamura

AU - Yatsuka Nakamura

TI - Determinant and Inverse of Matrices of Real Elements

JO - Formalized Mathematics

PY - 2007

VL - 15

IS - 3

SP - 127

EP - 136

AB - 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.

LA - eng

UR - http://eudml.org/doc/266534

ER -

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