Glossary math Term Page

Subspace

A vector space inside another vector space

subspace #math#linear-algebra

Korean version

Aliases

subspace

Prerequisites

Vector

Related Concepts

Span Column Space Null Space

Core Idea

A subspace is a smaller vector space contained inside a larger one. It must contain the zero vector and remain closed under addition and scalar multiplication.

Role In This Blog

In Mathbong, subspaces organize span, column space, null space, projections, and many of the geometric interpretations of linear algebra.

Posts Mentioning This Concept

[Linear Algebra Series Part 15] Subspaces, Column Space, and Null Space Use [[subspace|subspace]], [[column-space|column space]], and [[null-space|null space]] to understand what a matrix can produce and what it cannot distinguish.[선형대수 시리즈 15편] 부분공간, 열공간, 영공간 부분공간 개념을 바탕으로 열공간과 영공간을 설명하고, 행렬이 보존하거나 잃는 정보를 해석합니다.