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

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...

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Bibliographic Details
Published in:Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
Main Authors: Beites P. D., Nicolás A. P., Vitória José
Format: Article
Language:English
Published: Sciendo 2023-01-01
Subjects:
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
primary 15a72
secondary 15b57, 15a09
Online Access:https://doi.org/10.2478/auom-2023-0003

Internet

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

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