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

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

doi:10.2478/auom-2023-0003

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

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