关于高等代数中若干概念的联系  

The relationship among some conceptions of higher algebra

作　　者：何立官[1,2] 徐海静[2] 

机构地区：[1]重庆师范大学数学学院,重庆沙坪坝400047 [2]西南大学数学与统计学院,重庆北碚400715

出　　处：《重庆文理学院学报（自然科学版）》2012年第2期13-14,28,共3页Journal of Chongqing University of Arts and Sciences

基　　金：国家自然科学基金资助项目(11001226;11171364);重庆市科委自然科学基金资助项目(cstc2011jjA00020);重庆市教委科技项目(KJ110609)

摘　　要：向量组的极大线性无关组与秩、线性空间的基与维数、齐次方程组的基础解系、矩阵的秩都是线性代数的基本概念,然而学生普遍感到这些概念抽象,不易理解.本文系统论述这些概念之间的本质联系,以期能对该方面教学有所帮助.The base and dimension of linear space, the ranks of vector bundle and matrix, the maximal linearly independent subset of vector bundle, and the system of basic solution are fundamental conceptions in higher algebra, but most of the students think they are too abstract to understand. This article will introduce some relationship among these conceptions, thus helping them form a better understanding of such conceptions.

关 键 词：极大无关组 基础解系 基 维数 秩 

分 类 号：O411.1[理学—理论物理]