摘要
根据可对角化方阵的特征,给出求可对角化方阵高次幂的思想方法,并且给出主角线元素完全相等的三角矩阵求高次幂的二项式展开法。对秩为1的方阵和可分成特殊子块的方阵的高次幂给出了一般的求解公式。
In the light of the features of diagonalization matrix, the method for solving its high\|order exponents is offered in the present paper. And it also comes up with the binomial expansion method for the triangular matrix with completely equal principal diagonal element. Finally it presents the general solving formula for both the matrix with rank equaling 1 and the matrix that can be divided into special submatrixs.
出处
《扬州职业大学学报》
2003年第3期43-45,共3页
Journal of Yangzhou Polytechnic College
关键词
方阵的高次幂
特征值
三角矩阵
秩
子块
high\|order exponent of matrix
eigenvalue
triangular matrix
rank
submatrixs
