A Generalized Determinant of Matrices and Applications
Classical Analysis and ODEs
2021-12-01 v1
Abstract
A generalized definition of the determinant of matrices is given, which is compatible with the usual determinant for square matrices and keeps many important properties, such as being an alternating multilinear function, keeping multiplication formula and partly keeping the Cauchy-Binet's formula. As applications of the new theory, the generalized Cramer's rule and the generalized oriented volume are obtained.
Cite
@article{arxiv.2111.14840,
title = {A Generalized Determinant of Matrices and Applications},
author = {Xuesong Lu and Songtao Mao and Zixing Wang and Yuehui Zhang},
journal= {arXiv preprint arXiv:2111.14840},
year = {2021}
}
Comments
11 pages