矩阵多项式可逆性判别及矩阵逆的求法

Decision on the Invertibility of Matrix Polynomial and Method of Matrix Inversion

利用矩阵特征根理论 ,可对C上任意n级方阵的多项式的可逆性进行判定。然后利用Hamilton Caylay定理 ,给出了利用矩阵的特征多项式求一个矩阵的逆的方法 。

The invertibility of n order square matrix polynomial on C is decided by using the theory of matrix characteristic root. By means of Hamilton Caylay theorem, the method which may solve inverse of a matrix can be given. The approach to resolve adjoint matrix is also obtained.