CAJ | 학술논문

利用代数方法给出了三维内积空间中正交变换的特征向量的几何意义，研究了三维内积空间R3中的旋转变换(正交变换)的特征向量只有一个实的特征向量，以及研究了空间中关于经过原点的平面的对称变换(正交变换)的特征向量就是该平面的法矢量和该平面上自原点出发的任意矢量，并且它们是互相垂直的。
이용대수방법급출료삼유내적공간중정교변환적특정향량적궤하의의，연구료삼유내적공간R3중적선전변환(정교변환)적특정향량지유일개실적특정향량，이급연구료공간중관우경과원점적평면적대칭변환(정교변환)적특정향량취시해평면적법시량화해평면상자원점출발적임의시량，병차타문시호상수직적。
The geometric meaning of feature vector of orthogonal transformation is given in three di-mensional inner product spaces by using algebra method,that is,the rotation transform in three dimen-sional inner product spaces R3 is only a real feature vector.The feature vector plane reflection transfor-mation origin in space is the normal vector of the plane,and for any vector of the plane,they are per-pendicular to each other.