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.
@article{bwmeta1.element.doi-10_2478_v10037-011-0016-3,
author = {Karol P\k ak},
title = {Linear Transformations of Euclidean Topological Spaces},
journal = {Formalized Mathematics},
volume = {19},
year = {2011},
pages = {103-108},
zbl = {1276.15002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-011-0016-3}
}
Karol Pąk. Linear Transformations of Euclidean Topological Spaces. Formalized Mathematics, Tome 19 (2011) pp. 103-108. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-011-0016-3/
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