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

3Blue1Brown
7.39M subscribers
1.1M views 4 years ago Essence of linear algebra
How to write the eigenvalues of a 2x2 matrix just by looking at it. Need a refresher on eigenvalues?    • Eigenvectors and eigenvalues | Chapter 14,...   Thanks to Tim for the jingle:    / acapellascience   Help fund future projects:   / 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:    • The simpler quadratic formula | Ep. 1 Lock...   Timestamps: 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: 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 Vi …...more
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A quick trick for computing eigenvalues | Chapter 15, Essence of linear algebra
31KLikes
1,162,011Views
2021May 7
How to write the eigenvalues of a 2x2 matrix just by looking at it. Need a refresher on eigenvalues?    • Eigenvectors and eigenvalues | Chapter 14,...   Thanks to Tim for the jingle:    / acapellascience   Help fund future projects:   / 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:    • The simpler quadratic formula | Ep. 1 Lock...   Timestamps: 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: 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/a... Stream the music on Spotify: https://open.spotify.com/album/1dVyjw... ------------------ 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:   / 3blue1brown   Reddit:   / 3blue1brown   Instagram:   / 3blue1brown_animations   Patreon:   / 3blue1brown   Facebook:   / 3blue1brown  
Essence of linear algebra
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3Blue1Brown

7.39M subscribers