一类矩阵的逆矩阵和特征值问题

An Inversion and Eigenvalue Problem of a Matrix

本文对一类特殊矩阵的逆矩阵和特征值问题进行了研究,并得出了一个求该类矩阵的逆的一个公式,用该公式求这类矩阵的逆比用现有的方法要简单的多.最后从一个侧面解决了一类矩阵的特征值的有关问题.

In this paper, an inversion and Eigenvalue problem of a matrix are studied, and a formula of matrix inversion which is much simpler than the existing methods is put out. In the end, an Eigenvalue problem is solved in this paper.