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A Note on Vandermonde's Determinant

โœ Scribed by Hirsch, K. A.

Book ID
120099090
Publisher
Oxford University Press
Year
1949
Tongue
English
Weight
62 KB
Volume
s1-24
Category
Article
ISSN
0024-6107

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We prove that det Ix{-'Inxn =nlsi.=j5n (xi -xi) by associating a tournament to each.term in the expansion of the product. All terms cancel except those corresponding to transitive tournaments, and their sum is the determinant.