用行列逆变换配对法求特征值

The Determination of the Eigenvalue by the Reverse Transformation of Row-column-pair

高阶矩阵特征值涉及一元高阶方程,计算量大且容易出错,方法不容易掌握。文章分析了初等变换与相似矩阵之间的关系,探讨了用行列逆变换求高阶矩阵特征值的方法,并通过例子给予说明。

It is not easy to master the method for the determination of the eigenvalue of the high order matrix, because it involves the solution of the single- variable equation with high order and the calculating process is complex. The paper illustrates the nature relation between elementary transformation and similar matrix and the determination of the eigenvalue by the reverse transformation of row-- column-- pair.