Orthogonalization
id:
orthogonalization-303-3372737
title:
Orthogonalization
text:
In linear algebra, orthogonalization is the process of finding a set of orthogonal vectors that span a particular subspace. Formally, starting with a linearly independent set of vectors {v1, ... , vk} in an inner product space, orthogonalization results in a set of orthogonal vectors {u1, ... , uk} that generate the same subspace as the vectors v1, ... , vk. Every vector in the new set is orthogonal to every other vector in the new set; and the new set and the old set have the same linear span.
brand slug:
wiki
category slug:
encyclopedia
description:
original url:
https://en.wikipedia.org/wiki/Orthogonalization
date created:
date modified:
2024-01-17T20:48:41Z
main entity:
{"identifier":"Q1702189","url":"https://www.wikidata.org/entity/Q1702189"}
image:
fields total:
13
integrity:
13