Term-C3-ADn-3Amatica prechodu
type: Ontology
creation date: 2026-08-09T00:54:31+02:00
imports: http://semantic-mediawiki.org/swivt/1.0

matica prechodu
type: Subject
type: Category:Matematika
type: Category:Terms
page: http://terminologickyportal.sk/wiki/Term-C3-ADn-3Amatica_prechodu
wiki namespace: 3032
wiki page content language: sk
belongs to field: matematika
has approval level: 0
has definition: Nech $M=\{\vec{u}_1,\vec{u}_2, \ldots,\vec{u}_n\},$ $M'=\{\vec{v}_1,\vec{v}_2, \ldots,\vec{v}_n\}$ sú dve bázy vektorového priestoru $V_n.$ Označme $\{\vec{v}_n\}_M = (a_{i1},a_{i2},\ldots,a_{in}) \in T^n,$ $i=1,2,\ldots,n$ a utvorme maticu $\mathbb{A}=[a_{ij}].$ Túto maticu nazývame matica prechodu od bázy $M$ k báze $M'.$ Potom pre každý vektor $\vec{u} \in V_n$ platí $\{\vec{u}\}_M = \{\vec{u}\}_{M'}\cdot \mathbb{A}.$
has name: matica prechodu
is related to: Termín:matica
is related to: Termín:báza (vektorového priestoru)
is taken from: Kováčik, O. a kol.: Počtovnica pre vysoké školy technické 1. Žilina: VŠDS 1994
display title of: matica prechodu
wiki page modification date: 2023-01-18T10:18:10Z
modification date#aux: 2459962.9292824
wiki page sort key: matica prechodu