Products of idempotent and square-zero matrices

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• 作者：J.D. Botha¹ ; ^{bothajd@unisa.ac.za" class="auth_mail" title="E-mail the corresponding author}
• 关键词：15A23 ; 15B33
• 刊名：Linear Algebra and its Applications
• 出版年：2016
• 出版时间：15 May 2016
• 年：2016
• 卷：497
• 期：Complete
• 页码：116-133
• 全文大小：302 K

文摘

This paper presents necessary and sufficient conditions for a square matrix over an arbitrary field to be expressed as a product of idempotent and square-zero matrices. Since the similarity structures of such factors are completely determined by their rank, we also investigate the ranks that these factors may have. The case where the factors are all idempotent or all square-zero have been investigated by various authors, some of whom are listed in the references of this paper.