矩阵可交换问题及其在高等代数考研中的应用  

Matrix exchangeable problem and its application in postgraduate entrance examination mathematics of Higher Algebra

作　　者：张蓉[1] 陈国华[1] Zhang Rong;Chen Guohua(School of mathematics and finance,Hunan University of Humanities and technology,HunanLoudi 417000)

机构地区：[1]湖南人文科技学院,湖南娄底417000

出　　处：《科技风》2021年第33期54-56,共3页

摘　　要：高等代数是数学专业的学生必学的科目,同时也是考研数学的专业课。有关矩阵的内容在高等代数的教学中有着举足轻重的地位。我们知道矩阵的乘法一般都不满足交换律,但是在特定的条件下矩阵之间是可以交换的,而数学主要研究的就是这类特殊的东西。可交换问题是高等代数教学中的重点内容之一,同时也是高等代数考研数学中的热点之一。本文罗列出了一些矩阵(线性变换)可交换问题在高等代数考研数学中的应用,希望对考研数学有一定的帮助。Advanced algebra is a necessary subject for students majoring in mathematics,and it is also a professional course for postgraduate entrance examination.The content of matrix plays an important role in the teaching of higher algebra.We know that matrix multiplication generally does not satisfy the commutative law,but under certain conditions,matrices can be exchanged,and mathematics studies these special things.Exchangeable problem is one of the key contents of higher algebra,and it is also one of the hot spots in the postgraduate entrance examination mathematics of higher algebra.This paper lists some matrix(linear transformation)commutative problems in the application of advanced algebra postgraduate entrance examination mathematics,which is helpful to postgraduate entrance examination mathematics.

关 键 词：考研数学 可交换 矩阵 线性变换 

分 类 号：G63[文化科学—教育学]