摘要
由帕斯卡(Pascal)三角形(中国称为杨辉三角形表)构造出来的矩阵被称之为帕斯卡(Pascal)矩阵,它是研究某些概率问题时常涉及到的一类特殊矩阵.本文通过特殊到一般,类比猜想的方法,探讨阶帕斯卡(Pascal)矩阵的分解并给出逆矩阵及其特征值的特性.
Pascal matrix is constructed by Pascal’s triangle, which is called Yang hui triangle in China. It is a kind of special matrix which is usually involved in probability problems studying. This paper discusses LU decomposition of the n-order Pascal matrix, and gives the inverse matrix as well as properties of its eigenvalue by analogy guess from particular to the general.
出处
《内蒙古民族大学学报（自然科学版）》
2013年第6期639-641,共3页
Journal of Inner Mongolia Minzu University：Natural Sciences
关键词
帕斯卡矩阵
分解
逆矩阵
特征值
Pascal matrix
LU decomposition
Inverse matrix
Eigenvalue
