伪欧氏空间和伪正交变换

Pseudo-Euclidean Space and Pseudo-orthogonal Transformation

研究了含有迷向向量的伪欧式空间以及伪正交变换的性质，证明了伪正交矩阵不一定是规范的，但其转置仍是伪正交矩阵；得出了一个矩阵即是伪正交又是正交的充要条件．

The pseudo-Euclidean space containing isotropic vectors and the propertiea of pseudo-orthogonal transformation are studied. We illustrated that the pseudo-orthigonal matrix may not be normalized, but its transpose is also a pseudo-orthogonal matrix. We concluded a neccessary and sufficient condition for a matrix being not only pseudo-orthogonal but also orthogonal.