求标准正交基的技巧靳廷昌（天津师专杨村分校３０１７００）读了文［１］之后，颇受启发．笔者在本文给出求标准正交基更为简便的方法．这种方法只需进行矩阵的第三种列初等变换，便可直接把Ｒｎ的一个基化为正交基，从而再单位化求得标准正交基．首先叙述如下：引理１设... The technique of seeking standard orthogonal bases. Ting Changchang (Tianjin Teachers College Yangcun 301700) After reading the article [1], he was inspired. In this paper, we give a simpler way to find the standard orthogonal basis. This method only needs to perform elementary transformation of the third column of the matrix, so that one of Rn’s bases can be directly transformed into an orthonormal basis, and then unitary can be obtained as an orthonormal basis. First described as follows: Lemma 1 ...