Dual basis
id:
dual-basis-251-7153269
title:
Dual basis
text:
In linear algebra, given a vector space V with a basis B of vectors indexed by an index set I , the dual set of B is a set B ∗ of vectors in the dual space V ∗ with the same index set I such that B and B ∗ form a biorthogonal system. The dual set is always linearly independent but does not necessarily span V ∗ . If it does span V ∗ , then B ∗ is called the dual basis or reciprocal basis for the basis B . Denoting the indexed vector sets as B = { v i } i ∈ I and B ∗ = { v i } i ∈ I , being biorth
brand slug:
wiki
category slug:
encyclopedia
description:
Linear algebra concept
original url:
https://en.wikipedia.org/wiki/Dual_basis
date created:
date modified:
2024-01-12T11:46:51Z
main entity:
{"identifier":"Q2297777","url":"https://www.wikidata.org/entity/Q2297777"}
image:
fields total:
13
integrity:
14