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Primitive spaces of matrices of bounded rank. II

Part of: Basic linear algebra

Published online by Cambridge University Press:  09 April 2009

M. D. Atkinson
M. D. Atkinson
Affiliation:
Department of Computing Mathematics University CollegeCardiff, U. K.
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Abstract

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The classification of spaces of matrices of bounded rank is known to depend upon ‘primitive’ spaces, whose structure is considerably restricted. A characterisation of an infinite class of primitive spaces is given. The result is then applied to obtain a complete description of spaces whose matrices have rank at most 3.

MSC classification

Secondary: 15A30: Algebraic systems of matrices 15A03: Vector spaces, linear dependence, rank
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 34 , Issue 3 , June 1983 , pp. 306 - 315
Copyright
Copyright © Australian Mathematical Society 1983

References

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