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1·An orthogonal matrix is an invertible matrix for which the inverse is equal to the transpose.

正交矩阵是可逆矩阵，其逆矩阵等于其转置矩阵。

2·And a numerical algorithm for constructing a random symplectic orthogonal matrix is put forward.

给出了一种构造完全随机的正交辛矩阵的数值实现方法。

3·Using the orthogonal matrix experimental method, the effects of borax or TDI on the PVA adhesive were discussed.

采用正交实验法研究硼砂和TDI的加入量对PV A粘合剂的耐水性能和剥离强度的影响。

4·This paper describes the orthogonal matrix canonical forms for matrices and the orthogonal matrix decomposition form.

给出了正交矩阵的相似标准形及正交矩阵的分解形式。

5·On the base of strongly sub-orthogonal matrix, given the concept of sub-strongly sub-orthogonal matrix, obtained its properties.

在强亚正交矩阵的基础上，给出了次强亚正交矩阵的概念，讨论了次强亚正交矩阵的一些性质。

6·This paper defines the generalized symmetric matrix and orthogonal matrix and discusses their properties and relations between them.

本文给出了广义对称（反对称）矩阵和广义正交矩阵的概念，讨论了它们的性质及相互之间的关系。

7·By decomposing a matrix into one diagonalizable matrix and two orthogonal matrixes, singular value decomposition has very good properties.

奇异值分解是将一矩阵分解为一个对角矩阵和两个正交矩阵，奇异值分解有着非常好的性质。

8·The technology of extracting pectin from fresh watermelon peel by the salting out method is studied through experiments of orthogonal matrix.

通过正交实验，对用盐析法从鲜西瓜皮中提取果胶的工艺条件进行了研究。

9·General solutions of above inverse problem in positive definite matrix and in orthogonal matrix are given here by using factorization method of matrix.

本文用矩阵分解法给出该反问题在正定矩阵类及正交矩阵类中的通解。

10·At the same time, comparing the properties and applications of orthogonal matrix, we discuss the properties and applications of the generalized orthogonal matrix .

对照实数域上正交矩阵的性质和应用的研究，讨论了复数域上酉矩阵的性质以及应用。