On the similarity of matrices $AB$ and $BA$ over a field

DOI10.15330/cmp.10.2.352-359zbMath1409.15001OpenAlexW2908427290MaRDI QIDQ4633479

Volodymyr M. Prokip

Publication date: 3 May 2019

Published in: Carpathian Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.15330/cmp.10.2.352-359

zbMATH Keywords

similarityrankmatrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Linear transformations, semilinear transformations (15A04) Canonical forms, reductions, classification (15A21)

Cites Work

• Unnamed Item
• On the similarity of \(AB\) and \(BA\) for normal and other matrices
• On the matrices \(AB\) and \(BA\)
• Elementary divisors of certain matrices
• The Jordan forms of AB and BA
• Matrix Analysis
• Structure of Rank-One Matrices Over the Domain of Principal Ideals Relative to Similarity Transformations
• On a Theorem of Flanders
• The Relationship Between AB and BA
• The rank conditions such that AB and BA are similar and applications
• Elementary Divisors of AB and BA
• The Matrices AB and BA
• The characteristic polynomials of AB and BA

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