Firstly,the definition of Nth-order K -th generalized idempotent matrix was clarified.An analogy was made about the nature of the nth-order K -th generalized idempotent matrix through the idea of analogy of mathematics,and characteristics value and some combined properties of nth-order K -th generalized idempotent matrix were got.%给出了n阶k次广义幂等矩阵,通过类比法将n阶k次幂等矩阵的性质进行类比,得到了n阶k次广义幂等矩阵特征值和组合的一些性质.
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