Glossary math Term Page

Dimension

The number of independent directions in a space

dimension #math#linear-algebra

Korean version

Aliases

dimension

Prerequisites

Vector Basis

Related Concepts

Basis Vector Matrix

Core Idea

Dimension counts how many independent directions are needed to describe a space. More precisely, it is the number of vectors in any basis of that space.

Role In This Blog

In Mathbong, dimension helps readers interpret freedom, compression, latent structure, rank, and dimensionality reduction.

Posts Mentioning This Concept

[Linear Algebra Series Part 1] A Linear Algebra Roadmap for Programmers See how this 20-part linear algebra series is sequenced for programming, machine learning, graphics, and data work, and why it is ordered this way.[선형대수 시리즈 1편] 프로그래머를 위한 선형대수 로드맵 프로그래밍, 머신러닝, 그래픽스 관점에서 선형대수 20차시의 흐름과 왜 이 순서로 배워야 하는지 정리합니다.[Linear Algebra Series Part 2] Seeing Scalars and Vectors Through a Programmer's Lens Understand the difference between scalars and vectors by connecting coordinates, feature vectors, and embeddings from a programming perspective.