Moore matrix

id: moore-matrix-212-2290483
title: Moore matrix
text: In linear algebra, a Moore matrix, introduced by E. H. Moore (1896), is a matrix defined over a finite field. When it is a square matrix its determinant is called a Moore determinant. The Moore matrix has successive powers of the Frobenius automorphism applied to its columns, so it is an m × n matrix M = [ α 1 α 1 q … α 1 q n − 1 α 2 α 2 q … α 2 q n − 1 α 3 α 3 q … α 3 q n − 1 ⋮ ⋮ ⋱ ⋮ α m α m q … α m q n − 1 ] or M i, j = α i q j − 1 for all indices i and j. The Moore determinant of a square Moo
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original url: https://en.wikipedia.org/wiki/Moore_matrix
date created: 2008-07-16T19:06:16Z
date modified: 2024-09-12T03:04:06Z
main entity: {"identifier":"Q6908274","url":"https://www.wikidata.org/entity/Q6908274"}
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