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线性代数向量组正交化的教学改革
引用本文:石新华.线性代数向量组正交化的教学改革[J].天津科技,2014,41(8):71-73.
作者姓名:石新华
作者单位:中国民航学院理学院 天津300300
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。

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

On Teaching Reform of Vector Group Orthogonalization in Linear Algebra Course
SHI Xinhua.On Teaching Reform of Vector Group Orthogonalization in Linear Algebra Course[J].Tianjin Science & Technology,2014,41(8):71-73.
Authors:SHI Xinhua
Institution:SHI Xinhua (College of Science, Civil Aviation University of China, Tianjin 300300, China)
Abstract: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.
Keywords:vector group orthogonalization  Schmidt Orthogonalization Process  homogeneous linear equations  nonzero solution
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