矩阵的几个不变量

ON SEVERAL INVARIANTS OF A MATRIX

把矩阵的任意特征根的几何重数不超过它的代数重数这一性质进行了推广

Let A be an n×n matrix over a field P,and p(λ) be an irreducible polynomial in the ring P[λ]. △A(λ) and mA(λ) denote the characteristic polynomial and minimal polynomial of A respectivety. Let In this paper, we have proved thd following inequality dimR dimR, where (p(λ)) denotes the degree of p(λ). Such that dimR=a·(p(λ))iff β=1.