A COMBINATORIAL FORMULA FOR POWERS OF 3 x 3 MATRICES AND SOME COMBINATORIAL IDENTITIES

被引：0

作者：

Chanta, Naraporn Na ^{[1
]}

Rochanakul, Penying ^{[1
]}

机构：

[1] Chiang Mai Univ, Dept Math, Res Ctr Math & Appl Math, Fac Sci, Chiang Mai 50200, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 01期

关键词：

Power matrix; Combinatorial identities;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give a closed-form expression for the entries of powers of a 3 x 3 matrix. This formula represents each entries of the power matrix as sum of products of the entires of the original matrix. We derive some combinatorial identities using this formula.

引用

页码：372 / 383

页数：12

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