The Product and the Determinant of Matrices with Entries in a Field

Journal of Formalized Mathematics
Volume 5, 1993
University of Bialystok
Copyright (c) 1993 Association of Mizar Users

The Product and the Determinant of Matrices with Entries in a Field

Katarzyna Zawadzka: Warsaw University, Bialystok

Summary.

Concerned with a generalization of concepts introduced in [14], i.e. there are introduced the sum and the product of matrices of any dimension of elements of any field.

MML Identifier: MATRIX_3

The terminology and notation used in this paper have been introduced in the following articles [19] [8] [24] [20] [13] [25] [6] [7] [3] [5] [4] [17] [23] [16] [18] [11] [10] [9] [14] [22] [15] [1] [21] [26] [2] [12]

Contents (PDF format)

Auxiliary Theorems
The Product of Matrices
Determinant

Bibliography

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[17] Andrzej Trybulec. Binary operations applied to functions. Journal of Formalized Mathematics, 1, 1989.

[18] Andrzej Trybulec. Semilattice operations on finite subsets. Journal of Formalized Mathematics, 1, 1989.

[19] Andrzej Trybulec. Tarski Grothendieck set theory. Journal of Formalized Mathematics, Axiomatics, 1989.

[20] Andrzej Trybulec. Subsets of real numbers. Journal of Formalized Mathematics, Addenda, 2003.

[21] Andrzej Trybulec and Czeslaw Bylinski. Some properties of real numbers operations: min, max, square, and square root. Journal of Formalized Mathematics, 1, 1989.

[22] Andrzej Trybulec and Agata Darmochwal. Boolean domains. Journal of Formalized Mathematics, 1, 1989.

[23] Wojciech A. Trybulec. Vectors in real linear space. Journal of Formalized Mathematics, 1, 1989.

[24] Zinaida Trybulec. Properties of subsets. Journal of Formalized Mathematics, 1, 1989.

[25] Edmund Woronowicz. Relations and their basic properties. Journal of Formalized Mathematics, 1, 1989.

[26] Katarzyna Zawadzka. Sum and product of finite sequences of elements of a field. Journal of Formalized Mathematics, 4, 1992.

Received May 17, 1993

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