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与广义二次矩阵相关的广义Jordan积秩的不变性

Lü Hongbin,CHEN Meixiang,YANG Zhongpeng,FENG Xiaoxia

Journal of Yanbian University(Natural Science)（2021）

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Abstract
设A,B∈Cn×n为广义二次矩阵,C∈Cn×n,并定义广义Jordan积为AC+CB.应用广义二次矩阵和幂等矩阵的互为确定的关系,得到了由两个不同的幂等矩阵确定的广义二次矩阵A和B与任意矩阵C的广义Jordan积的秩不变性.该结果改进了已有二次矩阵的相关结果.
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