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A Generalized Determinant of Matrices and Applications
- Publication Year :
- 2021
-
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.<br />Comment: 11 pages
- Subjects :
- Mathematics - Classical Analysis and ODEs
15A15 (Primary)
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2111.14840
- Document Type :
- Working Paper