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分块初等变换在矩阵的秩中的应用
The Application of Elementary Transformations of Partitioning Matrix to Ranks of Matrices
【摘要】 讨论了分块初等变换的相关的概念和性质.采用分块初等变换的方法,对有关矩阵的秩的和的等式的问题进行了研究.研究中把推理过程计算化,使得这类问题的解决过程整齐划一,简单明了.
【Abstract】 In this paper,the conceptions and properties of elementary transformations of a partitioning matrix is discussed.With the method of elementary transformations of a partitioning matrix,the problem about the equation of ranks of matrices is studied.The simple processes of the proofs are integrated into calculations in the study.
【关键词】 分块矩阵;
分块初等变换;
矩阵的秩;
【Key words】 partitioning matrix; elementary transformations of a partitioning matrix; rank of matrix;
【Key words】 partitioning matrix; elementary transformations of a partitioning matrix; rank of matrix;
【基金】 国家自然科学基金项目(11471152)
- 【文献出处】 聊城大学学报(自然科学版) ,Journal of Liaocheng University(Natural Science Edition) , 编辑部邮箱 ,2015年02期
- 【分类号】O151.21
- 【被引频次】2
- 【下载频次】992