关于伪欧氏空间  

About Pseudo Euclidean Spaces

作　　者：张慎语[1] 王毅[2] 

机构地区：[1]四川大学数学系 [2]成都电子科技大学

出　　处：《工科数学》1997年第3期134-138,共5页Journal of Mathematics For Technology

摘　　要：本文提出了一些新概念，ｐ—伪转置阵，ｐ—伪正交阵，ｐ—伪对称阵，从而能以这些矩阵为工具研究伪欧氏空间的性质以及空间中两个特殊线性变换，伪正交变换和伪对称变换．本文得到的主要结果是定理２，定理３，定理４及定理６．本文还指出了北大编《高等代数》第二版中的伪正交变换习题的一个错误．In this paper, we give some new concepts, p pseeudo transposed matrix, p pseudo orthgonal matrix, p pseudo symmetrix matrix. So we can discuss pseudo Euclid space and its properties by using these matrixes as a tool. The purpose of this paper is to consider the properites of pseudo othogonal transformation and pseudo symmetric transformation, which are different from the properites of othogonal transformation and symmetric transformation. Our primary results are Theoem 2, 3, 4, 6. We also find an error of the exerise in Advanced Algebra.

关 键 词：欧氏空间 定理 正交变换 线性变换 矩阵 《高等代数》 对称阵 北大 新概念 习题 

分 类 号：O151[理学—数学] G633[理学—基础数学]