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- On skew-symmetric matrices related to the vector cross product in R^7Publication . Beites, P. D.; Nicolás, Alejandro; Vitoria, JoseA study of real skew-symmetric matrices of orders 7 and 8, de ned through the vector cross product in R7, is presented. More concretely, results on matrix properties, eigenvalues, (generalized) inverses and rotation matrices are established.
- Eigenvalues of matrices related to the octonionsPublication . Serôdio, Rogério; Beites, P. D.; Vitoria, JoseA pseudo real matrix representation of an octonion, which is based on two real matrix represen- tations of a quaternion, is considered. We study how some operations defined on the octonions change the set of eigenvalues of the matrix obtained if these operations are performed after or before the matrix representation. The established results could be of particular interest to researchers working on estimation algorithms involving such operations.