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Note on a Vanishing Determinant

Published online by Cambridge University Press:  31 October 2008

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1. In one of Sir Thomas Muir's more recent historical papers on the theory of determinants (Proc. R. S. Edin., XLIII, 1922, p. 129), is included a result due to V. Jung, commented on as being “verified in an unsuggestive way for the first three cases.” The theorem is that the determinant

Vanishes when n is even. Below we give a simple proof.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1930