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
收藏
页码:372 / 383
页数:12
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