The determinal rank idempotents of a matrix

DOI10.1016/0024-3795(95)00450-5zbMath0848.15004OpenAlexW1984838303MaRDI QIDQ1914219

Donald W. Robinson

Publication date: 9 October 1996

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(95)00450-5

zbMATH Keywords

idealgeneralized inversesminorscommutative ringdeterminantal rankfinite matricespairwise orthogonal idempotentspairwise orthogonality

Mathematics Subject Classification ID

Theory of matrix inversion and generalized inverses (15A09) Determinants, permanents, traces, other special matrix functions (15A15) Vector spaces, linear dependence, rank, lineability (15A03)

Related Items (4)

Adjoint Mappings and Inverses of Matrices ⋮ The classical adjoint ⋮ The image of the adjoint mapping ⋮ Outer inverses of matrices

Cites Work

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• Generalized inverses over integral domains. II: Group inverses and Drazin inverses
• Generalized inverses over integral domains
• A volume associated with \(m{\times}n\) matrices
• The Moore-Penrose inverse over a commutative ring
• Group inverses and Drazin inverses over Banach algebras
• The Moore idempotents of a matrix
• Generalized inverses with proportional minors
• Generalized inverses of matrices over commutative rings
• On generalized inverses of matrices over integral domains
• Reflexive generalized inverses and their minors^*

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