Glossary math Term Page

Projection

A map to the closest point in a subspace

projection #math#linear-algebra

Korean version

Aliases

projection

Prerequisites

Vector Dot Product

Related Concepts

Dot Product Linear Transformation Vector

Core Idea

A projection sends a vector to the closest point in a chosen line or subspace. In Euclidean settings, projection is the mathematical form of best approximation and is tightly connected to orthogonality.

Role In This Blog

In Mathbong, projection is the bridge from dot products and orthogonality to least squares, residuals, and linear regression.

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.[Linear Algebra Series Part 5] Dot Product and Cosine Similarity Understand the dot product as both component contribution and directional alignment, then connect it to cosine similarity.[선형대수 시리즈 5편] 내적과 코사인 유사도 내적의 의미를 방향 정렬과 기여도 합 관점에서 설명하고, 코사인 유사도와 연결합니다.