Skip to main content

Mathematics (thesaurus)

Search from vocabulary

Concept information

algebra > linear algebra > change of basis

Preferred term

change of basis  

Definition

  • In mathematics, an ordered basis of a vector space of finite dimension n allows representing uniquely any element of the vector space by a coordinate vector, which is a sequence of n scalars called coordinates. If two different bases are considered, the coordinate vector that represents a vector v on one basis is, in general, different from the coordinate vector that represents v on the other basis. A change of basis consists of converting every assertion expressed in terms of coordinates relative to one basis into an assertion expressed in terms of coordinates relative to the other basis.
    (Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Change_of_basis)

Broader concept

Narrower concepts

In other languages

URI

http://data.loterre.fr/ark:/67375/PSR-H6W8S3F5-M

Download this concept:

RDF/XML TURTLE JSON-LD Last modified 9/22/23