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Linear Transformations of Euclidean Topological Spaces Cover

Linear Transformations of Euclidean Topological Spaces

By: Karol Pąk  
Open Access
|Jul 2011

Abstract

We introduce linear transformations of Euclidean topological spaces given by a transformation matrix. Next, we prove selected properties and basic arithmetic operations on these linear transformations. Finally, we show that a linear transformation given by an invertible matrix is a homeomorphism.

DOI: https://doi.org/10.2478/v10037-011-0016-3 | Journal eISSN: 1898-9934 | Journal ISSN: 1426-2630
Language: English
Page range: 103 - 108
Published on: Jul 18, 2011
Published by: University of Białystok
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2011 Karol Pąk, published by University of Białystok
This work is licensed under the Creative Commons License.

Volume 19 (2011): Issue 2 (June 2011)