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。
Some new concepts p-pseudo-transposedmatrix, p-pseudo-orthogonal matrix, p-pseudo-symmetrix matrix are given in the paper. pseudo-Euclid space and its properties are discussed using these matrixes as a tool. The purpose of the paper is to consider the properites of pseudo-othogonal transformation and pseudo-symmetric transformation, which are differedt from the properites of othogonal transformation and symmetric transformation. Theorem 2, 3, 4, 6 are gained and an error of the exerise in Advanced Algebra is also finded.
出处
《四川轻化工学院学报》
CAS
1995年第1期41-45,共5页
Journal of Sichuan Institute of Light Industry and Chemical Technology
关键词
伪欧氏空间
伪正交变换
伪对称变换
p-pseudo-Euclidean space
p-pseudo-transposed matrix
p-pseudoorthogonal transformation
p-pseudo-symmetric matrix
pseudo-othogonal transformation
pseudo-symmetric transformation
space-like vector
time-like vector
