关于二次曲面分类的探讨

ON CLASSIFICATION OF QUADRIC SURFACE

应用对任意实对称矩阵A都存在一个正交矩阵T,使得 均是A的特征值的规律,对笛卡儿坐标系中的二次曲面进行坐标变换,把它们化为标准型并分类.

For every real symmetric Matrix A, these is an ovthogonal matrix T such that T'AT = where X<: i = 1, 2, 晻?, n, are the eigenvalues of matrix A. This paper applies this requlavity totransfasm the coordinate system,get their normal form and dassify them.