摘要
阐述正交变换与二次型的关系,以形象的分析给出正交变换的几何意义,并说明此几何意义在判断二次齐次方程型曲面类型中的应用,并将此类应用推广到一般的二次曲面表达式.
In this paper, the relationship of orthogonal transformation and quadratic form are showed, the geometric meaning of orthogonal transformation is given through image analysis, moreover, and the application of this geometric meaning to determine the type of two homogeneous equation of curved surface are showed, and the application is extended to the general quadratic surface expressions.
出处
《哈尔滨师范大学自然科学学报》
CAS
2014年第3期36-39,共4页
Natural Science Journal of Harbin Normal University
关键词
二次型
正交变换
二次曲面
Quadratic form
Orthogonal transformation
Quadratic surface
