Leibniz formula for determinants
id:
leibniz-formula-for-determinants-301-2117549
title:
Leibniz formula for determinants
text:
In algebra, the Leibniz formula, named in honor of Gottfried Leibniz, expresses the determinant of a square matrix in terms of permutations of the matrix elements. If A is an n × n matrix, where a i j is the entry in the i -th row and j -th column of A , the formula is where sgn is the sign function of permutations in the permutation group S n , which returns + 1 and − 1 for even and odd permutations, respectively. Another common notation used for the formula is in terms of the Levi-Civita symbo
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wiki
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encyclopedia
description:
Mathematics formula
original url:
https://en.wikipedia.org/wiki/Leibniz_formula_for_determinants
date created:
date modified:
2023-11-12T11:24:25Z
main entity:
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