幂零矩阵的性质及其应用

Properties and Applications of Nilpotent Matrices

幂零矩阵是一类特殊的矩阵,在矩阵理论中具有举足轻重的作用,它具有很多良好的性质,文章从矩阵的各个角度深入挖掘其性质,并用不同的方法进行分析论证,还通过例子说明其应用性,这对于解决若干矩阵问题大有益处.

Nilpotent matrix is a special matrix. It plays an important part in the theory of matrix and has many good properties.In this paper,we now find its deeply properties from different aspect of the matrix,give mass argument,and explain its extensive application by many examples.It will help us to solve many other matrix problems.