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Original Articles

Persymmetric determinants 3:a basic determinant

Pages 305-315 | Published online: 30 May 2007
 

Abstract

The object of this paper is to list and prove a number of properties of the determinant K = ∥kij n and its cofactors where

with obvious restrictions on h.

This determinant has been the subject of a number of short notes in the past but its importance has recently been enhanced by appearing in two papers on relativistic gravitational fields. Some of the 30 formulae and identities which are listed are therefore well-known but a significant number are new.

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