In this paper, through treating lines reciprocal transformation to a matrix, cogradiently reach the eigenvalue and eigenvector of a matrix, to solve the question treat a eigenvalue under without parameters, and given some advanced theorems.

• 摘要通过对矩阵进行行列互逆变换，同步求出矩阵特征值及特征向量，解决了不带参数求特征值问题，并给出一些新定理。