摘要
设二阶矩阵A=(a bc d),得到矩阵A的n次冪中的元素a11,a12,a21,a22与a,b,c,d之间关系式,给出a,b,c,d一些特殊值,利用这些关系和二项式定理得到一些有趣的组合恒等式.
Let matrix A =(a b c d), the relation of elements between a11 ,a12, a21, a22, and a, b, c, d by n-thpower of A is obtained, several particular values of a, b, c, d are given. Finally several interesting combinatorial identifies are derived by use of these relations and Binominal theorem.
出处
《云南民族大学学报(自然科学版)》
CAS
2008年第3期212-215,共4页
Journal of Yunnan Minzu University:Natural Sciences Edition
基金
银川大学科学研究基金资助项目(2006207-4)
关键词
二阶矩阵
组合数
恒等式
二项式定理
matrix of 2 order
combinatorial number
identities
Binominal theorem.