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An Extension of Determinants

Published online by Cambridge University Press:  03 November 2016

A. Lees
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Extract

If the elements of a determinant of order n are given by

ars(r, s = 1, 2, ... n),

then the rule for determining the sign to be affixed to any term of the determinant is usually given in a form equivalent to the following arrange the n elements of the term with one set of suffixes in ascending order (i.e. 1, 2, ... n), and count the number of inversions, equal to i, say, in the other set. Then the correct sign is ( − )i.

Type
Research Article
Information
The Mathematical Gazette , Volume 16 , Issue 219 , July 1932 , pp. 192 - 194
Copyright
Copyright © Mathematical Association

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