✦ LIBER ✦

Permanent and determinant

✍ Scribed by Joachim von zur Gathen

Publisher: Elsevier Science
Year: 1987
Tongue: English
Weight: 793 KB
Volume: 96
Category: Article
ISSN: 0024-3795
DOI: 10.1016/0024-3795(87)90337-5

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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.