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Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra

3Blue1Brown

8.7M subscribers • 42 videos on Hallway

YouTube
  • Recommended by 6 people: 6 on Hacker News.
  • A classic. People kept recommending it from 2016 to 2025.
  • May be out of date. Uploaded 10 years ago, in an area where tools change fast.

Beginner. No background in the topic needed.

6.4M views10 years ago6 recommendations

Computer scienceAI and machine learningMath for machine learningMath for programmersComputation and complexity

An intuitive, visual explanation of eigenvectors, eigenvalues, and the usefulness of an eigenbasis.

A visual understanding of eigenvectors, eigenvalues, and the usefulness of an eigenbasis. Help fund future projects: patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Home page: 3blue1brown.com Full series: 3b1b.co/eola Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced. 3b1b.co/support A solution to the puzzle at the end: dropbox.com/s/86yddvprfuaafju/Eigenvalue%20puzzle%20solution… Typo: At , "more that a line full" should be "more than a line full". Thanks to these viewers for their contributions to translations Hebrew: Omer Tuchfeld ------------------ 3blue1brown is a channel about animating math, in all senses of the word animate. Various social media stuffs: Website: 3blue1brown.com Twitter: twitter.com/3Blue1Brown Patreon: patreon.com/3blue1brown Facebook: facebook.com/3blue1brown Reddit: reddit.com/r/3Blue1Brown

Why it's here

6 people recommend this

What people say. Widely recommended as the best and most intuitive visual introduction to understanding eigenvalues and eigenvectors.

ivan_ahon Hacker News • Recommends

On “Meet the New Math, Unlike the Old Math”

On the topic of eigenvalues, this video is a very nice introduction: link to this video (the whole playlist kicks ass; highly recommended for anyone interested in "seeing" what linear algebra is all about)
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yamanekoon Hacker News • Recommends

On “The Essence of Linear Algebra [video]”

3Blue1Brown explanation of eigenvectors and eigenvalues is very insightful and intuitive 1. One of my favorite videos from his channel is "Who cares about topology? (Inscribed rectangle problem)" 2. They way a Torus and Möbius Strip come up as solution to the problem is so elegant. 1: link to this video 2: link
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raydiatianon Hacker News • Recommends

On “What is an eigenvalue?”

A far easier to digest primer on eigenvalues is available from 3Blue1Brown +. His presentation format is undeniably approachable, so much so that I think you could probably use it to teach linear algebra and eigenvectors to 9-year olds. + link to this video
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scmittonon Hacker News • Recommends

On “What is an eigenvalue?”

By far the best explanation of eigenvalues is found on 3blue1brown: link to this video Seriously, the course on the essence of linear algebra did more for me than my entire college linear algebra course. It's only a pity I discovered the videos at the end of my mechanical engineering degree and not sooner.
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mportelaon Hacker News • Recommends

On “Statistical Formulas for Programmers (2013)”

Then definitely what 3Blue1Brown's video on eigenvalues and eigenvectors. 1 That's when I clicked to me! His entire series on Linear Algebra is incredibly well produced. 1 link to this video
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steamer25on Hacker News • Recommends

On “Eigenvectors and Eigenvalues (2015)”

3Blue1Brown has a good series on YouTube for building intuition in linear algebra: link In one of the last videos in the (relatively short) series, he discusses eigen-*: ~'eigen-stuffs are straight-forward but only make sense if you have a solid visual understanding of the pre-requisites (linear transformations, determinants, linear systems of equations, change of basis, etc.). Confusion about eigen-stuffs usually has more to do with a shaky foundation than the eigen-things themselves' link to this video All of the videos in the series, including this later one on eigen-things, focus on animations to show what the number crunching is doing to the coordinate system.
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u/IncognitoErgoCvmin r/compsci • Mentions

On “What is an eigenvector? A 2-minute visual guide. [OC]”

This video, and the rest of the series, is from the best math communicator on YT, imo.
21View on Reddit

u/rojosaysin r/compsci • Mentions

On “What is an eigenvector?: A 5-minute visual guide to one of the fundamental concepts in Linear Algebra. 🧠”

link to this video
1View on Reddit