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Multiplicative groups of singular matrices

Published online by Cambridge University Press:  22 September 2016

Bryan Lang  and
Hans Liebeck
Bryan Lang
Affiliation:
Brentwood College of Education, Brentwood, Essex
Hans Liebeck
Affiliation:
Department of Mathematics, University of Keele, Keele, Staffs. ST5 5BG
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Extract

Many teachers are now familiar with sets of non-singular matrices which form groups under matrix multiplication. It is not so commonly known that multiplicative groups of singular matrices exist. The purpose of this article is to give some examples of such groups, to discuss their general features, and to indicate a method for the reader to construct further examples when required.

Type
Research Article
Information
The Mathematical Gazette , Volume 60 , Issue 411 , March 1976 , pp. 38 - 47
Copyright
Copyright © Mathematical Association 1976

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References

1. Mirsky, L., An introduction to linear algebra. Oxford University Press (1955).Google Scholar