Glossary math Term Page

Linear Dependence

Redundancy inside a vector set

linear-dependence #math#linear-algebra

Korean version

Aliases

linear dependence

Prerequisites

Vector

Related Concepts

Linear Independence Linear Combination Basis

Core Idea

Linear dependence means a vector set contains redundancy. If a nontrivial linear combination of the vectors equals zero, then at least one vector can be written using the others.

Role In This Blog

In Mathbong, linear dependence is the contrast that makes linear independence, basis, rank, and effective dimension easier to understand.

Posts Mentioning This Concept

[Linear Algebra Series Part 13] Linear Independence and Dependence: What Counts as Redundant Information? Use [[linear-independence|linear independence]] and [[linear-dependence|linear dependence]] to decide when a vector set contains redundancy.[선형대수 시리즈 13편] 선형독립과 종속: 중복 없는 정보란 무엇인가 선형독립과 종속을 통해 벡터 집합의 중복 여부를 판단하고, 특성(feature) 중복과 정보량 관점으로 설명합니다.