Journal of Formalized Mathematics
Volume 3, 1991
University of Bialystok
Copyright (c) 1991
Association of Mizar Users
Matrices. Abelian Group of Matrices

Katarzyna Jankowska

Warsaw University, Bialystok
Summary.

The basic conceptions of matrix algebra are introduced. The matrix is
introduced as the finite sequence of sequences with the same length,
i.e. as a sequence of lines. There are considered matrices over a field,
and the fact that these matrices with addition form an Abelian group
is proved.
The terminology and notation used in this paper have been
introduced in the following articles
[11]
[6]
[13]
[14]
[4]
[5]
[2]
[10]
[8]
[3]
[7]
[12]
[9]
[1]
Contents (PDF format)
Acknowledgments
I would like to thank Grzegorz Bancerek for his useful suggestions and
valuable comments.
Bibliography
 [1]
Grzegorz Bancerek.
Cardinal numbers.
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1, 1989.
 [2]
Grzegorz Bancerek and Krzysztof Hryniewiecki.
Segments of natural numbers and finite sequences.
Journal of Formalized Mathematics,
1, 1989.
 [3]
Czeslaw Bylinski.
Binary operations.
Journal of Formalized Mathematics,
1, 1989.
 [4]
Czeslaw Bylinski.
Functions and their basic properties.
Journal of Formalized Mathematics,
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 [5]
Czeslaw Bylinski.
Functions from a set to a set.
Journal of Formalized Mathematics,
1, 1989.
 [6]
Czeslaw Bylinski.
Some basic properties of sets.
Journal of Formalized Mathematics,
1, 1989.
 [7]
Czeslaw Bylinski.
Binary operations applied to finite sequences.
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 [8]
Czeslaw Bylinski.
Finite sequences and tuples of elements of a nonempty sets.
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2, 1990.
 [9]
Eugeniusz Kusak, Wojciech Leonczuk, and Michal Muzalewski.
Abelian groups, fields and vector spaces.
Journal of Formalized Mathematics,
1, 1989.
 [10]
Andrzej Trybulec.
Binary operations applied to functions.
Journal of Formalized Mathematics,
1, 1989.
 [11]
Andrzej Trybulec.
Tarski Grothendieck set theory.
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Axiomatics, 1989.
 [12]
Wojciech A. Trybulec.
Vectors in real linear space.
Journal of Formalized Mathematics,
1, 1989.
 [13]
Zinaida Trybulec.
Properties of subsets.
Journal of Formalized Mathematics,
1, 1989.
 [14]
Edmund Woronowicz.
Relations and their basic properties.
Journal of Formalized Mathematics,
1, 1989.
Received June 8, 1991
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