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 linear algebra teaching, the teaching of block matrix is ​​often only as a section, and some textbooks or elective content, but with the knowledge to solve block matrix examples and exercises is more difficult, often with verification method, students are not easy Understand, I do not know how to think, in fact, as long as the primary transform to increase the block matrix, block elementary matrix can easily solve these problems, but also easier to solve many linear algebra problems, this paper to explore such issues.