Glossary math Term Page

Linear Transformation

A vector mapping that preserves linear structure

linear-transformation #math#linear-algebra

Korean version

Aliases

linear transformation

Prerequisites

Vector Scalar

Related Concepts

Vector Matrix Projection

Core Idea

A linear transformation is a mapping between vector spaces that preserves vector addition and scalar multiplication. This property is what makes complicated inputs understandable through combinations of simpler directions.

Role In This Blog

In Mathbong, linear transformations are the main interpretation behind matrices, matrix multiplication, eigenvectors, projections, and SVD.

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 3] Vector Addition, Scalar Multiplication, and the Start of Linearity Learn what vector addition and scalar multiplication mean through data combination, scaling, and the first idea of linearity.