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arXiv · 1210.1922

On the Matrices of Central Linear Mappings

Hans Havlicek
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Abstract

We show that a central linear mapping of a projectively embedded Euclidean $n$-space onto a projectively embedded Euclidean $m$-space is decomposable into a central projection followed by a similarity if, and only if, the least singular value of a certain matrix has multiplicity $\ge 2m-n+1$. This matrix is arising, by a simple manipulation, from a matrix describing the given mapping in terms of homogeneous Cartesian coordinates.

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Hans Havlicek. 2012-10-06. On the Matrices of Central Linear Mappings. https://arxiv.org/abs/1210.1922

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