数量三幂等矩阵与广义二次矩阵的相关性质

摘要

利用矩阵分析法证明数量三幂等矩阵是广义二次矩阵，给出数量三幂等矩阵是本质数量三幂等的充要条件及其广义二次矩阵形式的显示表达，以及基于广义二次矩阵的数量三幂等矩阵的相关性质。%Using matrix analytic method,we proved that scalar tripotent matrices were generalized quadratic matrices.For scalar tripotent matrices,we gave necessary and sufficient condition of them to be essential,explicit expression of their generalized quadratic matrices form,and related properties of them based on generalized quadratic matrices.