Basis (linear algebra)
id:
basis-linear-algebra-178-14637784
title:
Basis (linear algebra)
text:
In mathematics, a set B of vectors in a vector space V is called a basis if every element of V may be written in a unique way as a finite linear combination of elements of B. The coefficients of this linear combination are referred to as components or coordinates of the vector with respect to B. The elements of a basis are called basis vectors. Equivalently, a set B is a basis if its elements are linearly independent and every element of V is a linear combination of elements of B. In other words
brand slug:
wiki
category slug:
encyclopedia
description:
Set of vectors used to define coordinates
original url:
https://en.wikipedia.org/wiki/Basis_(linear_algebra)
date created:
2001-11-08T15:27:43Z
date modified:
2024-09-04T19:32:48Z
main entity:
{"identifier":"Q189569","url":"https://www.wikidata.org/entity/Q189569"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/f/f4/3d_two_bases_same_vector.svg","width":161,"height":284}
fields total:
13
integrity:
16