<abstract xmlns="http://www.w3.org/1999/xhtml">

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.
</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.

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

Departamento de Matemática and CMA-UBI Universidade da Beira Interior R

Universidad de Oviedo Calle Federico García Lorca

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

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...

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

Published Online: Feb 04, 2023

Page range: 47 - 69

Received: Apr 05, 2022

Accepted: Jul 15, 2022

DOI: https://doi.org/10.2478/auom-2023-0003

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

© 2023 P. D. Beites et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Feb 04, 2023

Page range: 47 - 69

Received: Apr 05, 2022

Accepted: Jul 15, 2022

DOI: https://doi.org/10.2478/auom-2023-0003

Keywords2-fold vector cross product, Hermitian inner product, Skew-symmetric matrix, Generalized inverse, (Vector cross product, Vector cross product differential, Vector cross product difference) equation

© 2023 P. D. Beites et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

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