摘要
利用向量的数量积及行列式的按行(列)展开定理,构造出一个n维向量,它能够与n-1个n维向量都正交.这种构造正交向量的方法简单明了.应用这种方法很容易证明克莱姆法则.对这种构造方法加以改进,给出了线性空间Rn中扩充一组正交基的新方法.
An n-dimensional vector is constructed with vector scalar product and determinant by row （column） expansion theorem which can be orthogonal with n—1 n-dimensional vector. This method of constructing the orthogonal vectors are simple. Cramer＇s Rule is proved with this method. A new method of expansion of an orthogonal basis in linear space is given by improving this construction method.
出处
《大学数学》
2013年第2期122-125,共4页
College Mathematics
基金
西安建筑科技大学教改项目(JG080113)
关键词
数量积
正交向量
正交基
克莱姆法则
scalar product
orthogonal vectors
orthogonal basis
Cramer＇s rule
