1. An introduction to Sub orthogonal Matrix and its simple properties is presented, and the sub congruence of Matrix is discussed.

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

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

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

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

6. For example, one can use QR decomposition to find the orthogonal matrix B, or use the orthogonal projection matrix of A as B.

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

8. The experiments show that the ability of error detection is improved with orthogonal matrix, the generated cases are less, and the proposed method is simple and easy to be realized.

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

10. The crosslinking reaction of polyvinyl alcohol ( PVA) emulsion with tris (4 - isocyanatophenyl) thio -phosphate (TTPI) was researched by the orthogonal matrix experimental method.

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

12. This article analyzes a few profound concepts, such as companion matrix, line vector, column rector, orthogonal matrix, and recommend many qualities,[sentence dictionary] which are difficult to grasp for many students.

13. The concept of maximal constant matrix of conjugation is also given, and it is proved that the maximal constant matrix of conjugation is an orthogonal matrix of order two.

14. In this paper the cosine transform matrix relating Cartesian coordinates with orthogonal curvilinear coordinates is introduced. It is shown that this transform matrix is an orthogonal matrix.

15. It is discussed that crosslinking modification of polyvinyl alcohol (PVA) glue with both hexadiisocyanate (HDI) and water glass by the orthogonal matrix experimental method.

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