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

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A 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.

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

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