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Title:Zgledi iz osnov linearne algebre : povzetek teorije in postopki reševanja nalog s komentarji
Authors:ID Kosi-Ulbl, Irena (Author)
ID Benkovič, Dominik (Reviewer)
ID Špacapan, Simon (Reviewer)
Files:URL https://press.um.si/index.php/ump/catalog/book/738
 
.pdf RAZ_Kosi-Ulbl_Irena_2022.pdf (5,06 MB)
MD5: 13028384019FAF53ED8185F3FE232D77
 
Language:Slovenian
Work type:Unknown
Organization:FS - Faculty of Mechanical Engineering
UZUM - University of Maribor Press
Abstract:Publikacija je dopolnitev k učbeniku Osnove linearne algebre (iste avtorice). Medtem ko je v omenjenem učbeniku poudarek na teoretični osnovi obravnavanih vsebin, prinaša skripta k vsakemu obravnavanemu poglavju rešene zglede. Na začetku posameznga poglavja je uvodni del, v katerem so navedeni pomembnejši teoretični pojmi, ki jih bomo ponovili, in napoved nalog, ki jih bomo v okviru tega poglavja rešili. Nato sledi kratek teoretični del z zapisanimi definicijami, lastnostmi in obrazci, ki jih potrebujemo pri reševanju nalog. Študentom tako za osvežitev znanja omenjenih pojmov ni treba iskati v učbeniku. Teoretičnemu delu sledi osrednji del poglavja, ki ga predstavljajo podrobno rešeni zgledi z vsemi vmesnimi koraki. Reševanje nalog spremljajo tudi komentarji, ki študenta spomnijo, na kateri teoretični osnovi temelji iskanje pravilne poti do rešitve. Vsako poglavje se končuje s ključnimi besedami in z bistvenimi ugotovitvami poglavja. Pri nekaterih zgledih k lažjemu razumevanju poteka reševanja in k boljši prostorski predstavi pripomorejo barvne slike oziroma različni grafični prikazi.
Keywords:determinanta, matrika, sistem linearnih enačb, vektor, vektorski prostor, linearna preslikava, lastna vrednost, lastni vektor
Place of publishing:Maribor
Place of performance:Maribor
Publisher:Univerza v Mariboru, Univerzitetna založba
Year of publishing:2022
Year of performance:2022
PID:20.500.12556/DKUM-83398 New window
ISBN:978-961-286-668-6
UDC:512.64(075.8)(0.034.2)
COBISS.SI-ID:129353219 New window
DOI:10.18690/um.fs.8.2022 New window
Publication date in DKUM:15.11.2022
Views:523
Downloads:86
Metadata:XML DC-XML DC-RDF
Categories:Misc.
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Licences

License:CC BY 4.0, Creative Commons Attribution 4.0 International
Link:http://creativecommons.org/licenses/by/4.0/
Description:This is the standard Creative Commons license that gives others maximum freedom to do what they want with the work as long as they credit the author.
Licensing start date:15.11.2022

Secondary language

Language:English
Title:Examples from Bases of Linear Algebra : Theory Resume and Fully Solved Problems with Commentaries
Abstract:The publication is a supplement to the textbook Bases of Linear Algebra (by the same author). At the beginning of each chapter, there is an introduction which foretells the problems that are going to be solved in this chapter. This is followed by a short theoretical part with written definitions, properties and theorems that we need when solving problems. The central part of the chapter is represented by examples solved in detail with all intermediate steps. Solving problems is also accompanied by comments that remind students which theoretical basis is used to find the solution. Each chapter ends with key words and the main findings of the chapter. In some examples, color pictures or various graphic displays help to make the solution process easier to understand and provide a better spatial representation.
Keywords:determinant, matrix, system of linear equations, vector, vector space, linear mappings, eigenvalue, eigenvector


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