Skew-symmetric matrices related to the vector cross product in ℂ7

P. D. Beites; A. P. Nicolás; José Vitória

doi:10.2478/auom-2023-0003

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Skew-symmetric matrices related to the vector cross product in ℂ7

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 31 (2023): Issue 1 (January 2023)

By: P. D. Beites , A. P. Nicolás and José Vitória

Open Access

|Feb 2023

Abstract

Skew-symmetric matrices of order 7 defined through the 2-fold vector cross product in ℂ⁷, and other related matrices, are presented. More concretely, matrix properties, namely invertibility, nullspace, powers and index, are studied. As a consequence, results on vector cross product equations, vector cross product differential equations and vector cross product difference equations in ℂ⁷ are established.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2023-0003 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 47 - 69

Submitted on: Apr 5, 2022

Accepted on: Jul 15, 2022

Published on: Feb 4, 2023

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

2-fold vector cross product,

Hermitian inner product,

Skew-symmetric matrix,

Generalized inverse,

(Vector cross product, Vector cross product differential, Vector cross product difference) equation

Related subjects:

Mathematics,

General mathematics

© 2023 P. D. Beites, A. P. Nicolás, José Vitória, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 31 (2023): Issue 1 (January 2023)