A quick trick for computing eigenvalues | Essence of linear algebra, chapter 15

A quick trick for computing eigenvalues | Essence of linear algebra, chapter 15

How to write the eigenvalues of a 2×2 matrix just by looking at it.
Thanks to Tim for the jingle: https://www.youtube.com/acapellascience
Help fund future projects: https://www.patreon.com/3blue1brown​
An equally valuable form of support is to simply share the videos.
Special thanks to these supporters: https://3b1b.co/quick-eigen-thanks

Introduction to eigenvectors and eigenvalues:

Lockdown math lecture talking about the mean product formula:

0:00 – Background
4:53 – Examples
10:24 – Relation to the characteristic polynomial
12:00 – Last thoughts


These animations are largely made using a custom python library, manim. See the FAQ comments here:

You can find code for specific videos and projects here:

Music by Vincent Rubinetti.

Download the music on Bandcamp:

Stream the music on Spotify:


3blue1brown is a channel about animating math, in all senses of the word animate. And you know the drill with YouTube, if you want to stay posted on new videos, subscribe: http://3b1b.co/subscribe

Various social media stuffs:
Website: https://www.3blue1brown.com
Twitter: https://twitter.com/3blue1brown
Reddit: https://www.reddit.com/r/3blue1brown
Instagram: https://www.instagram.com/3blue1brown_animations/
Patreon: https://patreon.com/3blue1brown
Facebook: https://www.facebook.com/3blue1brown


Related post