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Structure of Rank-One Matrices Over the Domain of Principal Ideals Relative to Similarity Transformations

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We study the structure of rank-one matrices over the domain of principal ideals relative to equivalence and similarity transformations. The canonical form of rank-one matrices relative to similarity transformations is… Click to show full abstract

We study the structure of rank-one matrices over the domain of principal ideals relative to equivalence and similarity transformations. The canonical form of rank-one matrices relative to similarity transformations is established. We propose conditions under which a pair of rank-one matrices is reduced to the triangular form by a similarity transformation.

Keywords: one matrices; structure rank; rank one; similarity transformations; matrices domain

Journal Title: Journal of Mathematical Sciences
Year Published: 2018

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