菏泽学院学报

矩阵的秩是矩阵重要的数字特征之一,在代数研究中有着重要的作用.对于矩阵秩的求法主要是用矩阵的初等行变换来求,这种方法也较容易掌握.但是对于抽象矩阵求矩阵的秩就无法实施,因此从矩阵秩的定义和定理出发,对矩阵秩的典型例题进行分析,这在教学上有利于学生对抽象矩阵概念的理解和掌握.

The rank of a matrix is one of the important numerical characteristics of matrix,plays an important role in algebra research.For the method of matrix rank is mainly by elementary row transformation of matrix to solve,this method is easy to grasp.But for the matrix Abstraction of rank of matrix cannot be enforced,so from the definition and theorem of rank of matrix based on the typical examples of matrix rank analysis,in teaching is beneficial to students’ understanding and grasping of Abstract matrix concept.