分块初等变换在矩阵的秩中的应用

摘要

In this paper ,the conceptions and properties of elementary transformations of a partitio‐ning matrix is discussed .With the method of elementary transformations of a partitioning matrix ,the problem about the equation of ranks of matrices is studied .T he simple processes of the proofs are inte‐grated into calculations in the study .%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。