“矩阵乘法”课堂教学研究

Study on the Teaching of Matrix Multiplication

理解线性方程组及矩阵的初等行变换对掌握线性代数核心思想和概念至关重要.课堂教学中,首先介绍矩阵左乘列向量的规则并引入线性方程组的矩阵记号,其次介绍具有相同系数矩阵的线性方程组的矩阵记法,在此基础上引入矩阵的乘法及矩阵求逆的初等变换法.实践表明,这样的安排具有比较好的教学效果.

It is essential in Linear Algebra to solve the linear systems and to understand the elementary row transformation of matrices. In the class, we first introduce the rule of left multiplication of a vector by a matrix and the notation of linear systems by matrices, and then, we introduce the notation of several systems with the same coefficient matrix. On this basis, we define the multiplication of matrices and the elementary transformation to find the inverse of a square matrix.