Improve the traditional method of solving algebraic eigenvalue and eigenvector, give a new method of solving algebraic eigenvalue and eigenvector with elementary transformation. 摘要改進了求代數特徵值與特徵向量的傳統方法，給出了一種用初等變換來求代數特徵值與特徵向量的方法。
A simple method of solving an orthogonal transformation with a primary transformation is presented by change quadric form into canonical form. 給出了利用初等變換求一個正交變換化實二次型為標準形的簡便方法。
