Hostname: page-component-5c6d5d7d68-ckgrl Total loading time: 0 Render date: 2024-08-14T03:47:08.405Z Has data issue: false hasContentIssue false
  • English
  • Français

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
Get access Rights & Permissions [Opens in a new window]

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

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

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