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

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.

Bibliographic Details
Main Author: Beites, P. D. (author)
Other Authors: Nicolás, Alejandro (author), Vitoria, Jose (author)
Format: article
Language:eng
Published: 2020
Subjects:
Online Access:http://hdl.handle.net/10400.6/9038
Country:Portugal
Oai:oai:ubibliorum.ubi.pt:10400.6/9038
Description
Summary: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.