一类矩阵秩的恒等式

(Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China)

摘要： 利用分块矩阵的初等变换,证明了李书超等于2004年提出的一类矩阵秩的猜想.并把此结论推广到了更一般情形.

关键词: 分块矩阵；秩；初等变换；

Abstract: Some rank identities of a class of matrices are obtained with the block matrices and its generalized elementary operation.

Key words: block matrix； rank； generalized elementary operation；

邱红兵； . 一类矩阵秩的恒等式[J]. 广东工业大学学报, 2007, 24(1): 82-84.

QIU Hong-bing. Rank Identities of a Class of Matrices[J]. Journal of Guangdong University of Technology, 2007, 24(1): 82-84.

[1] 李书超,蒋君,向世斌,徐树立. 一类矩阵秩的恒等式及其推广[J]. 武汉科技大学学报(自然科学版). 2004(01)

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