"skew-symmetric matrices and the vector cross product in R^7" by P. D. Beites, A. P. Nicolás et al.

Home > ELA > Vol. 32 (2017)

Article Title

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

Authors

P. D. Beites, University of Beira InteriorFollow
A. P. Nicolás, University of ValladolidFollow
José Vitória, University of CoimbraFollow

Keywords

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

Abstract

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.

Recommended Citation

Beites, P. D.; Nicolás, A. P.; and Vitória, José. (2017), "On skew-symmetric matrices related to the vector cross product in R^7", Electronic Journal of Linear Algebra, Volume 32, pp. 138-150.
DOI: https://doi.org/10.13001/1081-3810.3498

abs_vol32_pp138-150.pdf (103 kB)
Abstract

Download

Included in

Algebra Commons

COinS

Electronic Journal of Linear Algebra