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几类特殊矩阵的可逆性及其逆矩阵
引用本文:邵逸民.几类特殊矩阵的可逆性及其逆矩阵[J].通化师范学院学报,2008,29(12):5-7.
作者姓名:邵逸民
作者单位:苏州市职业大学教育与人文科学系,江苏苏州,215104
摘    要:对几类特殊矩阵的逆矩阵问题进行了研究,讨论了它们可逆的条件,分析了这些矩阵与其逆矩阵之间的关系,并给出了其逆矩阵的特征或求逆矩阵的公式.

关 键 词:逆矩阵  幂零矩阵  整数矩阵

Nonsigularity and Inverse Matrices of Several Special Matrices
SHAO Yi-min.Nonsigularity and Inverse Matrices of Several Special Matrices[J].Journal of Tonghua Teachers College,2008,29(12):5-7.
Authors:SHAO Yi-min
Institution:SHAO Yi - min (Department of Education and Humanities, Suzhou Vocational University, Suzhou, Jiangsu 215104, China)
Abstract:In this paper, inverse matrices of several special matrices are studied. The invertible conditions of them are discussed. The relation between these matrices and their inverse matrices are analyzed and the characteristics of the inverse matrix or the formulae to obtain these inverse matrices are also put forward.
Keywords:inverse matrix  nilpotent matrix  integer matrix
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