自然地引入矩阵相似概念的一种方法

A Natural Introduction to the Concept of Matrix Similarity

在线性代数的教学中,利用集合与映射、变量与函数、变量代换这些数学知识,可以观察认识挖掘解读矩阵运算的丰富内涵.在没有学习抽象的线性空间与线性映射的情况下,可以从映射和变量代换的角度,展示引入矩阵相似概念的深刻动机.

In the teaching of linear algebra,we can observe,understand,mine and interpret the rich meaning of matrix operations by using the knowledge of set and mapping,variables and functions,and variable substitution.Without learning abstract linear space and linear mapping,we can show the deep motivation of introducing the concept of matrix similarity from the perspective of mapping and variable substitution.