Umfang:
1 Online-Ressource (XX, 292 Seiten)
,
Diagramme
ISBN:
9783111135915
,
9783111136141
Serie:
De Gruyter Textbook
Inhalt:
"There are numerous linear algebra textbooks available on the market. Yet, there are few that approach the notion of eigenvectors and eigenvalues across an operator's minimum polynomial. In this book, we take that approach. This book provides a thorough introduction to the fundamental concepts of linear algebra. The material is divided into two sections: Part I covers fundamental concepts in linear algebra, whereas Part II covers the theory of determinants, the theory of eigenvalues and eigenvectors, and fundamental results on Euclidean vector spaces. We highlight that: Consider hypothetical manufacturing models as a starting point for studying linear equations. There are two novel ideas in the book: the use of a production model to motivate the concept of matrix product and the use of an operator's minimal polynomial to describe the theory of eigenvalues and eigenvectors. Several examples incorporate the use of SageMath., allowing the reader to focus on conceptual comprehension rather than formulas."--
Anmerkung:
In English
Weitere Ausg.:
ISBN 9783111135892
Weitere Ausg.:
Erscheint auch als Druck-Ausgabe Barrera-Mora, Fernando Linear algebra Berlin : De Gruyter, 2023 ISBN 9783111135892
Weitere Ausg.:
ISBN 3111135896
Sprache:
Englisch
Fachgebiete:
Mathematik
Schlagwort(e):
Matrizenrechnung
;
Lineares Gleichungssystem
;
Minimalpolynom einer Matrix
;
Eigenwert
;
Lineare Transformation
;
Euklidischer Vektorraum
;
Kanonische Form
DOI:
10.1515/9783111135915
