分块矩阵的初等变换

Elementary Transformation of Partitioned Matrix

在线性代数教学中,分块矩阵的教学往往只作为一节,有的课本还是选学内容,但是用所学知识解决分块矩阵的例题和习题就比较困难,往往是用验证法,学生不易理解,不知怎么思考的,其实,只要增加分块矩阵的初等变换,分块初等矩阵就能容易解决这些问题,而且还能更容易解决许多线性代数的问题,本文对此类问题进行初探。

In the teaching of linear algebra the teaching of partitioned matrix elementary transformation is taught in the first period. In some textbooks it is optional. However, it is very difficult to make use of the knowledge to solve the examples and exercises of partitioned matrix. When proof method is used, students find it hard to understand or how to solve it. In fact, if we increase the elementary transformation of partitioned matrix, it's easy to solve the problem as well as many linear algebra problems. The paper focuses on the discussion of the problem.