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arXiv · 1309.5805

Decomposition Of Invertible And Conformal Transformations

Srikanth K. V.·Raj Bhawan Yadav
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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.

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Srikanth K. V., Raj Bhawan Yadav. 2013-09-10. Decomposition Of Invertible And Conformal Transformations. https://arxiv.org/abs/1309.5805

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