线性代数向量组正交化的教学改革  

On Teaching Reform of Vector Group Orthogonalization in Linear Algebra Course

作　　者：石新华[1] 

机构地区：[1]中国民航学院理学院,天津300300

出　　处：《天津科技》2014年第8期71-73,共3页Tianjin Science & Technology

摘　　要：线性代数课程中的向量组正交化的传统方法,即施密特正交化过程。多年来,很多教材都是沿用施密特正交化过程方法,但其计算量比较大。论述了使用齐次线性方程组求非零解的方法,将向量组正交化,产生一种新的构思。Over the years, traditional method of Vector Group Orthogonalization, which is also called Schmidt Orthogonalization Process, has been used in Linear Algebra course. However, it needed a large amount of calculations. In this paper, a new method called nonzero homogeneous linear equations was used for vector group orthogonalization, which may provide a new solution.

关 键 词：向量组正交化 施密特正交化过程 齐次线性方程组 非零解 

分 类 号：O151.23[理学—数学]