Decomposition Of Invertible And Conformal Transformations
General Mathematics
2013-09-24 v1
Abstract
In this article, we give a geometric description for any invertible operator on a finite dimensional inner--product space. With the aid of such a description, we are able to decompose any given conformal transformation as a product of planar rotations, a planar rotation or reflection and a scalar transformation. Also, we are able to conclude that an orthogonal transformation is a product of planar rotations and a planar rotation or a reflection.
Cite
@article{arxiv.1309.5805,
title = {Decomposition Of Invertible And Conformal Transformations},
author = {Srikanth K. V. and Raj Bhawan Yadav},
journal= {arXiv preprint arXiv:1309.5805},
year = {2013}
}