Improve the traditional method of solving algebraic eigenvalue and eigenvector, give a new method of solving algebraic eigenvalue and eigenvector with elementary transformation. 摘要改进了求代数特征值与特征向量的传统方法，给出了一种用初等变换来求代数特征值与特征向量的方法。
A simple method of solving an orthogonal transformation with a primary transformation is presented by change quadric form into canonical form. 给出了利用初等变换求一个正交变换化实二次型为标准形的简便方法。
