Beites, Patrícia DamasNicolás, AlejandroVitoria, Jose2026-01-192026-01-192023http://hdl.handle.net/10400.6/19687Skew-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.eng2-Fold Vector Cross ProductHermitian Inner ProductSkew-Symmetric MatrixGeneralized Inversejournal article10.2478/auom-2023-0003