摘要
对分块对角矩阵的行列式、可逆性及逆阵计算、乘法、伴随矩阵等性质进行了总结.给出了非零子块矩阵与分块对角矩阵特征值、特征向量、可相似对角化、可正交相似对角化等方面的若干性质,并给出了相应证明.
Summarized the properties of the determinant, reversible and inverse matrix calculation, multiplication, adjoint matrix of block diagonal matrix and so on. Gave a number of the properties of eigenvalue, eigenvectors, similar diagonalization, similar orthogonal diagonalization of non-zero sub-block matrix and block diagonal matrix, and meanwhile gave the corresponding proof about it.
出处
《高师理科学刊》
2011年第6期20-22,共3页
Journal of Science of Teachers＇College and University
关键词
分块对角阵
相似
正交
block diagonalmatrix
similar
orthogonal
