关于向量组的秩的教学探讨  

Discussion on the Rank of Vector Group

作　　者：赵志辉 郝琳 刘素兵 

机构地区：[1]火箭军工程大学基础部,陕西 西安

出　　处：《创新教育研究》2023年第4期816-822,共7页Creative Education Studies

摘　　要：向量组的秩和最大线性无关组是《线性代数》中较为抽象的概念,学生对概念的认识比较模糊和浅显。为了更好地理解概念表层和深层的内涵,以信息存储这一案例的引入给出定义,探究求法,最后利用定义解决案例中的问题。通过这样的教学过程,不仅使得学员清晰的认识了概念,而且锻炼了学员的数学思维能力,达到了学以致用的教学目的。The rank of vector group and the maximal linear independent vector group are the more abstract concept in linear algebra and students have a vague and simple understanding on these concepts. In order to understand the surface and deep connotation of the concept better, the paper gives the definition with the introduction of the case of information storage, explores the method, and finally solves the problems in the case using the definitions. Through this teaching process, students not only have a clear understanding of the concept, but also exercise their mathematical thinking ability, so as to achieve the teaching purpose of learning for application.

关 键 词：向量组的秩 最大线性无关组 矩阵 

分 类 号：G63[文化科学—教育学]