摘要
利用代数方法给出了平面上正交变换的特征向量的几何意义,即研究了平面R2上的旋转变换(正交变换),它无对应的实特征向量.同时研究了经过原点的直线的反射变换(正交变换)的特征向量就是该直线的法矢量和该直线的方向矢量,并且它们是互相垂直的.
This paper presents the algebraic method of the geometric feature vector orthogonal trans- formation on the plane, i.e. the plane of rotation transformation, without the feature vectors corre- sponding to it, and studies the reflection transformation after the feature vector origin of the line is the straight- line method vector and the line direction vector, and they are perpendicular to each other.
出处
《湖州师范学院学报》
2014年第2期1-5,共5页
Journal of Huzhou University
关键词
特征向量
矩阵
正交变换
feature vectors
matrices linear
orthogonal transformation