Linear Transformations of Euclidean Topological Spaces

Karol Pąk

Formalized Mathematics (2011)

  • Volume: 19, Issue: 2, page 103-108
  • ISSN: 1426-2630

Abstract

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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.

How to cite

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Karol Pąk. "Linear Transformations of Euclidean Topological Spaces." Formalized Mathematics 19.2 (2011): 103-108. <http://eudml.org/doc/266875>.

@article{KarolPąk2011,
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.},
author = {Karol Pąk},
journal = {Formalized Mathematics},
language = {eng},
number = {2},
pages = {103-108},
title = {Linear Transformations of Euclidean Topological Spaces},
url = {http://eudml.org/doc/266875},
volume = {19},
year = {2011},
}

TY - JOUR
AU - Karol Pąk
TI - Linear Transformations of Euclidean Topological Spaces
JO - Formalized Mathematics
PY - 2011
VL - 19
IS - 2
SP - 103
EP - 108
AB - 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.
LA - eng
UR - http://eudml.org/doc/266875
ER -

References

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