Alternant matrix
id:
alternant-matrix-165-4748096
title:
Alternant matrix
text:
In linear algebra, an alternant matrix is a matrix formed by applying a finite list of functions pointwise to a fixed column of inputs. An alternant determinant is the determinant of a square alternant matrix. Generally, if f 1, f 2, …, f n are functions from a set X to a field F, and α 1, α 2, …, α m ∈ X, then the alternant matrix has size m × n and is defined by
- M = [ f 1 f 2 ⋯ f n f 1 f 2 ⋯ f n f 1 f 2 ⋯ f n ⋮ ⋮ ⋱ ⋮ f 1 f 2 ⋯ f n ] or, more compactly, M i j = f j. Examples of alternant ma
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wiki
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encyclopedia
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original url:
https://en.wikipedia.org/wiki/Alternant_matrix
date created:
2006-03-17T04:27:52Z
date modified:
2024-08-29T08:17:45Z
main entity:
{"identifier":"Q2620519","url":"https://www.wikidata.org/entity/Q2620519"}
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13
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