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Title:Idempotenti in projektorji
Authors:ID Štebih, Gregor (Author)
ID Petek, Tatjana (Mentor) More about this mentor... New window
Files:.pdf UNI_Stebih_Gregor_2012.pdf (311,82 KB)
MD5: 67C3699AC838E4C1370ACAEC0F4A3A2A
PID: 20.500.12556/dkum/3b94d70d-0b63-4f38-b03c-4088800326bd
 
Language:Slovenian
Work type:Bachelor thesis/paper
Typology:2.11 - Undergraduate Thesis
Organization:FNM - Faculty of Natural Sciences and Mathematics
Abstract:V diplomskem delu obravnavamo idempotentne matrike kot operatorje ter njihove lastnosti. Opišemo lastnosti idempotentnih matrik imenovanih projektorji. Pogledamo kdaj je projektor ortogonalen in lastnosti takih projektorjev. Odgovorili bomo kdaj je vsota, razlika ali produkt dveh projektorjev tudi projektor. Ugotovimo, da je linearni operator projektor tedaj in samo tedaj, ko je tudi idempotent. Za vsoto, razliko in produkt dveh projektorjev pokažemo kdaj je spet projektor ter spoznamo relacijo delne urejenosti.
Keywords:linearen operator, idempotent, projektor, matrika, ortogonalni projektor
Place of publishing:Maribor
Publisher:[G. Štebih]
Year of publishing:2012
PID:20.500.12556/DKUM-38194 New window
UDC:51(043.2)
COBISS.SI-ID:20513288 New window
NUK URN:URN:SI:UM:DK:4LCGXPVV
Publication date in DKUM:03.02.2021
Views:1336
Downloads:67
Metadata:XML DC-XML DC-RDF
Categories:FNM
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Secondary language

Language:English
Title:Idempotents and projectors
Abstract:In the thesis we deal with idempotent matrices as operators and their properties. Characterization of idempotent matrix called projectors. We look when the projector and orthogonal properties of such projectors. We will answer when the sum, difference or product of two projectors also projector is. We find that the linear operator called projector is a projector only if it is idempotent as well. For the sum, difference and a product of two projectors we demonstrate when the projector is projector again and realize a partial order relation.
Keywords:linear operator, idempotent, projector, matrix, orthogonal projector


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