Hostname: page-component-78c5997874-mlc7c Total loading time: 0 Render date: 2024-11-08T07:54:53.618Z Has data issue: false hasContentIssue false

91.21 On singular 3 × 3 semi-diagonal Latin squares

Published online by Cambridge University Press:  01 August 2016

Götz Trenkler
Affiliation:
Department of Statistics, University of Dortmund, Vogelpothsweg 87, D-44221 Dortmund
Dietrich Trenkler
Affiliation:
Department of Economics, University of Osnabrück, Rolandstraβe 8, D-49069 Osnabrück

Abstract

Image of the first page of this content. For PDF version, please use the ‘Save PDF’ preceeding this image.'
Type
Notes
Copyright
Copyright © The Mathematical Association 2007

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. Emanouilides, E. and Bell, R. A., Latin squares and their inverses, Math. Gaz. 88, (March 2004) pp. 127128.Google Scholar
2. Moore, C. D., On the reciprocal of the general algebraic matrix, Bulletin of the American Mathematical Society 26, (1920) pp. 394395.Google Scholar
3. Penrose, R., A generalized inverse for matrices, Proceedings of the Cambridge Philosophical Society 51 (1955) pp. 406413.Google Scholar
4. Meyer, C. D., Matrix analysis and applied linear algebra, SIAM, Philadelphia (2000).Google Scholar
5. Pearl, M. H., On generalized inverses of matrices, Proceedings of the Cambridge Philosophical Society 62 (1959) pp. 673677.Google Scholar
6. Schmidt, K. and Trenkler, G., The Moore-Penrose inverse of a semi-magic square is semi-magic, International Journal of Mathematical Education in Science and Technology 32 (2001) pp. 624629.Google Scholar