线性代数教学中几个问题的处理  

Handing some teaching problem of linear algebra

作　　者：王凤鸣[1,2] 马宝艳[1] 

机构地区：[1]河南财经政法大学成功学院,河南郑州451200 [2]南阳师范学院数学与统计学院,河南南阳473061

出　　处：《南阳师范学院学报》2011年第3期84-86,共3页Journal of Nanyang Normal University

摘　　要：改变教材的处理,用向量单位化方法证明柯西—布涅柯夫斯基不等式;用特征向量的定义和范德蒙行列式证明定理:方阵A的对应于不同特征值的特征向量线性无关;给方阵的幂补充应用例等变化,在实际教学中取得了较好的效果.To gain a better teaching achievement,this paper aims at adopting some new methods to improve the textbook.Cauchy-Buniakowsky-Schwarz Inequality is proved by normalizing unit vector,the theorem that the correspondence of square matrix A is not related to the eigenvector linearity of different eigenvalue is testified by the definition of eigenvector and the application of Vandermonde determinant,some application examples are added to the square matrix power.By using these methods can a better effect be achieved in actual teaching process.

关 键 词：不等式 向量单位化 特征向量 方阵的幂 递推 

分 类 号：O151.2[理学—数学] G420[理学—基础数学]