矩阵乘积的精彩——贯穿于《线性代数》始终的矩阵乘积的教学方法探讨  

The Splendidness of the Metrix Multiplication——an approach to teaching matrix multiplication in linear algebra

作　　者：李毛亲[1] 

机构地区：[1]台州学院数学与信息工程学院数学系,浙江临海317000

出　　处：《台州学院学报》2012年第3期51-55,60,共6页Journal of Taizhou University

摘　　要：探讨了在《线性代数》教学过程中关于矩阵乘积的问题。首先是矩阵乘法引入时要注意的问题,其次是在矩阵分块以后探讨矩阵乘积的规律,然后是用内积的观点来看待矩阵的乘积。这样从多个侧面引导学生去理解矩阵的乘积可以开阔他们的视野,提高他们分析问题和解决问题的能力。In the paper, the teaching of matrix multiplication in linear algebra is discussed. Firstly, when the multiplication of two matrices is introduced, some problems need to be taken into account. Secondly, after learning block matrix, some regular rules about multiplication are presented,which, under the guidance of teachers, students should pay attention to. The matrix multiplication is learned in view of inner product. By different way to see matrix multiplication, the academic horizons of students can be extended, which helps improve students＂ ability to analyze and solve problems.

关 键 词：矩阵的乘积 分块矩阵 矩阵的秩 

分 类 号：O151.21-4[理学—数学]