n阶k次广义幂等矩阵可对角化的条件及相关性质

n Order k Generalized Idempotent Matrix Diagonalization Condition and Related Properties

随着矩阵理论的不断深入研究,广义幂等矩阵及其相关性质得到越来越多的讨论。本文在广义幂等矩阵的基础上,讨论了n阶k次广义幂等矩阵可对角化的条件及相关性质,并给予了必要的证明及推论。

With the deepening study of matrix theory, generalized idempotent matrix and its related properties are more and more discussed. In this paper, based on the generalized idempotent matrix, discussed n order k general- ized idempotent matrix diagonalization condition and related properties, and gave the necessary proof and inference.