FACW_MATH_1994_10886826_Evard_Jafari.pdf (957.3 kB)

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

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posted on 2021-11-15, 21:40 authored by J. C. Evard, Farhad JafariIt 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## Language

English## Publisher

University of Wyoming. Libraries## Journal title

Proceedings of the American Mathematical Society## Collection

Faculty Publication - Department of Mathmatics & Statistics## Department

- Library Sciences - LIBS