How to write the eigenvalues of a 2x2 matrix just by looking at it.
Need a refresher on eigenvalues? https://youtu.be/PFDu9oVAE-g
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

Lockdown math lecture talking about the mean product formula:
https://youtu.be/MHXO86wKeDY

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

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These animations are largely made using a custom python library, manim. See the FAQ comments here:
https://www.3blue1brown.com/faq#manim
https://github.com/3b1b/manim
https://github.com/ManimCommunity/manim/

You can find code for specific videos and projects here:
https://github.com/3b1b/videos/

Music by Vincent Rubinetti.
https://www.vincentrubinetti.com/

Download the music on Bandcamp:
https://vincerubinetti.bandcamp.com/album/the-music-of-3blue1brown

Stream the music on Spotify:
https://open.spotify.com/album/1dVyjwS8FBqXhRunaG5W5u

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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
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