摘要
现阶段,向量组线性之间的相关性问题属于线性代数教学期间的关键性内容,直接关系到学生数学学习的有效性,该内容的基础概念相对抽象,而且其中的相关定理也非常难理解,学生需要花费大量时间进行学习与掌握。所以,长时间以来,逐渐成为线性代数教学过程中的难点问题。从某种程度上讲,借助对向量组线性相关性所具有的基本定义与相关判断方法实施正确解读与形象描述,能够顺利建立起向量组线性相关性以及线性方程组与矩阵相互间的内在关系,在此基础上,更好地帮助学生对向量组线性相关性内容的学习,深刻理解其内涵,掌握相对简便的求解方法。
At this stage, the correlation between the linearity of the vector group belongs to the key content during the linear algebra teaching and directly relates to the effectiveness of the student＇s mathematics learning. The basic concept of the content is relatively abstract, and the relevant theorems are also very difficult to understand. Students need to spend a lot of time learning and mastering. Therefore, for a long time, it has gradually become a difficult problem in the teaching of linear algebra. To a certain extent, by using the basic definition and correlation judgment method of the vector group linear correlation to implement correct interpretation and image description, the linear correlation of the vector group and the intrinsic relationship between the linear equation group and the matrix can be established successfully. On this basis, it helps students better understand the content of linear relevance of vector sets, deeply understands their connotations, and has a relatively simple solution method.
作者
缪应铁
MIAO Yingtie(Department of Mathematics and Physics of Dianxi Science and Technology Normal University, Lincang, Yunnan 67700)
出处
《科教导刊》
2018年第19期121-122,共2页
The Guide Of Science & Education
关键词
线性表出
线性相关
线性无关
线性方程组
Linear representation
Linear dependence
Linear independence
Linear system
