| | SLO | ENG | Cookies and privacy

Bigger font | Smaller font

Show document Help

Title:Matrični komutatorji
Authors:ID Levart, Sanja (Author)
ID Grašič, Mateja (Mentor) More about this mentor... New window
Files:.pdf MAG_Levart_Sanja_2019.pdf (343,90 KB)
MD5: 9D8A2B5A9AA430BAE9F4795E7A904EF8
PID: 20.500.12556/dkum/7db79884-40c6-4238-8e07-79acacacdb85
 
Language:Slovenian
Work type:Master's thesis/paper
Typology:2.09 - Master's Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:Cilj magistrskega dela je predstaviti nekaj rezultatov, ki povezujejo zapis matrik v obliki matričnega komutatorja s kakšno posebno lastnostjo matrike. Velja na primer, da je matrika A, ki zadošča kateremu od pogojev a) A[A,B]=[A,B]A za neko matriko B b) [adj(A),B]=A za neko matriko B c) [A,B]=A za neko matriko B nilpotentna in da je sled matrike enaka 0 natanko tedaj, ko lahko to matriko predstavimo v obliki nekega matričnega komutatorja.
Keywords:matrika, matrični komutator, nilpotentna matrika, sled matrike.
Place of publishing:Maribor
Publisher:[S. Levart]
Year of publishing:2020
PID:20.500.12556/DKUM-75590 New window
UDC:512.643.12(043.2)
COBISS.SI-ID:17715459 New window
NUK URN:URN:SI:UM:DK:V65XJKF9
Publication date in DKUM:09.06.2020
Views:1454
Downloads:100
Metadata:XML DC-XML DC-RDF
Categories:FNM
:
Copy citation
  
Average score:(0 votes)
Your score:Voting is allowed only for logged in users.
Share:Bookmark and Share



Hover the mouse pointer over a document title to show the abstract or click on the title to get all document metadata.

Licences

License:CC BY-NC-ND 4.0, Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Link:http://creativecommons.org/licenses/by-nc-nd/4.0/
Description:The most restrictive Creative Commons license. This only allows people to download and share the work for no commercial gain and for no other purposes.
Licensing start date:12.12.2019

Secondary language

Language:English
Title:Matrix commutators
Abstract:The aim of the master's thesis is to present some results that relate the matrix property in the form of some matrix commutator condition to some specific property of this matrix. For example, for the matrix A that satisfies any of the conditions: a) A[A,B] = [A,B]A for some matrix B b) [adj(A),B] = A for some matrix B c) [A,B] = A for some matrix B it follows that A is a nilpotent matrix. We also show that the trace of the matrix is 0 if and only if we can represent this matrix in the form of a commutator.
Keywords:matrix, matrix commutators, nilpotent matrix, trace of a matrix.


Comments

Leave comment

You must log in to leave a comment.

Comments (0)
0 - 0 / 0
 
There are no comments!

Back
Logos of partners University of Maribor University of Ljubljana University of Primorska University of Nova Gorica