ON SOME AUTOMORPHISMS IN AFFINE SPACES

Authors

Keywords:

affine space, affine basis, affine mapping, matrix representation, commutativity

Abstract

This paper deals with the affine mappings defined on affine space, especially on the real affine space \(A^m\). Their matrix representation in the form of real column-stochastic matrix is given. We show that every linear mapping defined on \(\mathbb{R}^m\) can be observed as an affine mapping defined on \(A^m\). We also show an important property - a special commutativity of the composition of two affine mappings.

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Published

2011-01-01

Issue

Vol. 35 (2011): 35 (LXI) (2011)

Section

Articles

How to Cite

[1]
E. Hadžieva and L. Kocić, “ON SOME AUTOMORPHISMS IN AFFINE SPACES”, Mat. Bilt., vol. 35, no. 1, pp. 51–59, Jan. 2011, Accessed: Jul. 04, 2026. [Online]. Available: https://bilten.smm.org.mk/index.php/bilten/article/view/1767