将向量内积运算内容提前的线性代数教学方案
首发时间:2008-04-07
摘要:现在的大学线性代数教材,讲到向量的内积,已经是相当靠后的章节。但是,内积,距离,正交,向量间的夹角的概念,才是实际应用中特别重要的,特别常用的概念。因此,本文提出一种线性代数的新的教学方案,就是一开始就定义向量的运算和向量的内积,然后以内积和斯密特正交化方法为核心来定义其它的概念。这样的教学办法,能够使学生更容易将我们生活的三维空间的几何思考应用到一般的多维线性空间中去。
关键词: 线性代数
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A Plan to Teach Linear Algebra Begin from Inner Product
Abstract:Now the university’s textbook of linear algebra, usual put the content of inner product of vectors to very late part. But, the concept of inner product, distance, orthogonal, angle between two vectors, is really very important in application, and often used concept. So in this paper, a new plan to teach linear algebra is put out, in which the vector’s operation and inner product is defined at beginning, then to define other concept with kernel of inner product and Schmidt Orthogonal method. Such a teaching plan, can let students to easily apply the geometry thinking of three dimension space which we live in to generalized multi-dimension linear space.
Keywords: linear algebra
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No.2012919956212075****
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