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Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra

3Blue1Brown · explainer · Watch on YouTube

Pure mathematicsRecreational & visual math

What it is

3Blue1Brown's chapter on eigenvectors and eigenvalues in the Essence of Linear Algebra series. It builds a visual intuition for what they mean, why an eigenbasis is useful, and ends with a puzzle.

Why Hacker News recommends it

HN repeatedly names it the best, most intuitive explanation of eigenvalues, and a gateway to the whole linear algebra series.

  • 6 people recommended it
  • 5 different months
  • 5 strong recommendations
  • first 2016, last 2025

What HN commenters said

  1. “this video is a very nice introduction”

    Visual introduction to eigenvalues.

    ivan_ah, 2016-10 · Strong recommendation · in “Meet the New Math, Unlike the Old Math”

  2. “3Blue1Brown explanation of eigenvectors and eigenvalues is very insightful and intuitive”

    Intuitive explanation of eigenvectors and eigenvalues.

    yamaneko, 2017-02 · Strong recommendation · in “The Essence of Linear Algebra [video]”

  3. “A far easier to digest primer on eigenvalues is available from 3Blue1Brown”

    Approachable primer on eigenvalues.

    raydiatian, 2022-11 · Strong recommendation · in “What is an eigenvalue?”

  4. “By far the best explanation of eigenvalues is found on 3blue1brown”

    Best explanation of eigenvalues.

    scmitton, 2022-11 · Strong recommendation · in “What is an eigenvalue?”

  5. “His entire series on Linear Algebra is incredibly well produced.”

    Made eigenvalues click; series is well produced.

    mportela, 2025-03 · Strong recommendation · in “Statistical Formulas for Programmers (2013)”

  6. “All of the videos in the series, including this later one on eigen-things, focus on animations”

    Animated eigen-concepts built on visual foundations.

    steamer25, 2018-05 · Recommendation · in “Eigenvectors and Eigenvalues (2015)”

Excerpts from Hacker News comments, linked to the originals. Summaries and labels were written by a language model from those comments.

Topics: eigenvectors, eigenvalues, 3blue1brown, visual math, eigenbasis

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