r-实正交矩阵及其性质

On the r-Real Orthogonal Matrix and Its Properties

在现有的正交矩阵定义的基础上提出了r-实正交矩阵的概念,研究了它的一些性质,得到了一些判定条件,同时给出了与它的特征值及行列式相关的一些结果.

Based on the existing definition of the orthogonal matrix, the concept of the r-real orthogonal matrix is given. Some basic properties of the r-real orthogonal matrics are discussed and some judgements of the r-real orthogonal matrics are generalized. This paper also gives some results related to its eigenval- ues and determinants.