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《Journal of Luoyang Normal University》 2019-11
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On the Rank Characteristics of m -Idempotent Matrices

Wang Hui;School of Mathematical Sciences, Huaibei Normal University;  
The rank of matrices is an important numerical characteristic of matrix. This paper discusses the rank characteristics of m-idempotent matrices. We obtain some necessary and sufficient conditions of m-idempotent matrices using the important rank identity of matrices. Moreover it is proved that there exists infinite rank identities which can depict m-idempotent matrices. The results provide some theoretical bases for further research on the rank of matrices.
【Fund】: 安徽省教育厅教育教学研究项目(2016jyxm0932);安徽省教育厅教育教学研究项目(2017jyxm0214);安徽省教育厅教育教学研究项目(2017jyxm0216);; 安徽省大规模在线开放课程(MOOC)示范项目(2015mooc053);; 淮北师范大学教学研究重点项目(jy2017105)
【CateGory Index】: O151.21
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【Co-citations】
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1 Lin Wei;Yang Zhongpeng;Chen Meixiang;Concord College,Fujian Normal University;School of Mathematics,Putian University;School of Mathematics and Statistics,Minnan Normal University;;Algebraic Equivalence and Orthogonality of n-Scalar-Idempotent Matrices[J];北华大学学报(自然科学版);2015-05
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