Pascal matrix

id: pascal-matrix-211-3938933
title: Pascal matrix
text: In mathematics, particularly matrix theory and combinatorics, a Pascal matrix is a matrix containing the binomial coefficients as its elements. It is thus an encoding of Pascal's triangle in matrix form. There are three natural ways to achieve this: as a lower-triangular matrix, an upper-triangular matrix, or a symmetric matrix. For example, the 5 × 5 matrices are: L 5 = U 5 = S 5 = = L 5 × U 5 There are other ways in which Pascal's triangle can be put into matrix form, but these are not easily
brand slug: wiki
category slug: encyclopedia
description: Infinite matrices with Pascal's triangle as elements
original url: https://en.wikipedia.org/wiki/Pascal_matrix
date created: 2006-11-08T04:04:11Z
date modified: 2024-09-12T05:01:36Z
main entity: {"identifier":"Q7141739","url":"https://www.wikidata.org/entity/Q7141739"}
image:
fields total: 13
integrity: 15

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