Vector cross product, Skew-symmetric matrix, Matrix properties, Eigenvalues, (Generalized) inverses, Rotation matrices


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.

abs_vol32_pp138-150.pdf (103 kB)

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Algebra Commons



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