幂零矩阵性质的再探讨

Further Exploration of the Properties of Nilpotent Matrices

通过对幂零矩阵的性质进行再探讨,得到了其转置矩阵、伴随矩阵等行列式也是零的结论,同时推广了k-幂零矩阵的性质,并对一些结论用不同的方法给予了证明.

Through further exploration the properties of nilpotent matrix,it can be concluded that the determinant of transition matrix,adjoint matrix and etc.is zero.Meanwhile,the properties of k-nilpotent matrix were promoted.And some conclusions of k-nilpotent matrix were proved by different methods.