The equivalence of an invertible matrix to its transpose

DOI10.1080/03081088008817337zbMath0432.15004OpenAlexW2017123567MaRDI QIDQ3869469

Roderick Gow

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1080/03081088008817337

zbMATH Keywords

reductionelementary divisorinvertible matrixorthogonal direct sum of free submodules

Mathematics Subject Classification ID

Factorization of matrices (15A23) Theory of matrix inversion and generalized inverses (15A09) Conditioning of matrices (15A12)

Related Items (9)

Conjugacy class properties of the extension of \(\text{GL}(n,q)\) generated by the inverse transpose involution. ⋮ Congruences of a square matrix and its transpose ⋮ Congruence and conjunctivity of matrices to their adjoints ⋮ Equivalence and normal forms of bilinear forms ⋮ Construction of isodual codes from polycirculant matrices ⋮ A Factorization inGSp(V) ⋮ The congruence of a matrix with its transpose ⋮ On congruence of complex matrices ⋮ Spectra of Hadamard matrices

Cites Work

• The equivalence of bilinear forms
• Product of two involutions
• Unnamed Item

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