On skew-symmetric matrices related to the vector cross product in R^7

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


A study of real skew-symmetric matrices of orders $7$ and $8$, defined through the vector cross product in $\mathbb{R}^7$, is presented. More concretely, results on matrix properties, eigenvalues, (generalized) inverses and rotation matrices are established.

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