Glossary math Term Page

Nullity

The dimension of the null space

nullity #math#linear-algebra

Aliases

nullity

Prerequisites

Null Space Dimension

Related Concepts

Null Space Rank System of Equations

Core Idea

Nullity is the dimension of the null space. It tells us how many degrees of freedom remain invisible after applying the matrix.

Role In This Blog

In Mathbong, nullity appears with rank in the rank-nullity theorem and helps explain free variables and information loss.

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 16] Rank and Nullity: How Much Information Survives and How Much Disappears Use [[rank|rank]] and [[nullity|nullity]] to summarize how a matrix preserves or loses information.[선형대수 시리즈 16편] 계수(rank)와 영차원(nullity): 정보 보존량과 손실량 계수(rank)와 영차원(nullity)을 통해 행렬이 보존하는 정보와 잃는 정보를 요약하고 계수-영차원 관점으로 설명합니다.