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base

File:3d_two_bases_same_vector.svg · Wikimedia Commons · See Wikimedia Commons

EntityQ189569· pop 53· linked from 674 articles

Also known as Hamel basis, algebraic basis, basis of a vector space, vector basis

subconjunto de um espaço vetorial que possibilita a definição de coordenadas

AI overview

A basis is a minimal set of vectors in a vector space that can be combined together to create any other vector in that space, much like how a few basic ingredients can be mixed to make many different dishes. It matters because having a basis lets mathematicians and scientists assign coordinates to vectors, making it easier to perform calculations and understand the structure of complex mathematical spaces.

AI-generated from the Wikipedia summary — may contain errors.

Wikidata facts

Named after
Georg Hamel
Show 6 more facts
Commons category
Basis (linear algebra)
has characteristic
linear independence
studied by
linear algebra
opposite of
Schauder basis
maintained by WikiProject
WikiProject Mathematics
Sources (3)

via Wikidata · CC0

Article · Português

Na álgebra linear, uma base de um espaço vectorial é um conjunto de vetores linearmente independentes que geram esse espaço.

Abstract from DBpedia / Wikipedia · CC BY-SA

Gallery (3)