摘要
利用多项式理论、线性空间理论研究了矩阵及其多项式的一些性质.
In this paper,we study some properties of matrices and their polynomials by using the theory of polynomials and linear space.We discuss eigenvalues and eigenvectors,linear space spanned by polynomials of a matrix,and some matrices that can be represented by polynomials of a matrix.
作者
徐大树
XU Dashu(School of Mathematics and Statistics,North-Eastern University at Qin Huangdao,Qin Huangdao 066000,PRC)
出处
《高等数学研究》
2019年第4期101-102,共2页
Studies in College Mathematics
关键词
矩阵多项式
特征值
线性空间
极小多项式
polynomials of matrices
eigenvalues
linear space
minimal polynomial
