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Set of All MXN Rectangular Real Matrices of Rank-R Is Connected by Analytic Regular Arcs, The

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posted on 15.11.2021, 21:40 by J. C. Evard, Farhad Jafari
It is well known that the set of all square invertible real matrices has two connected components. The set of all m x n rectangular real matrices of rank r has only one connected component when m ≠ n or r < m = n. We show that all these connected components are connected by analytic regular arcs. We apply this result to establish the existence of p-times differentiable bases of the kernel and the image of a rectangular real matrix function of several real variables.

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eng

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English

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University of Wyoming. Libraries

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Proceedings of the American Mathematical Society

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Faculty Publication - Department of Mathmatics & Statistics

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  • Library Sciences - LIBS

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