video thumbnail 17:15
Eigenvectors and eigenvalues | Chapter 14, Essence of linear algebra

2016-09-15

[public] 2.52M views, 94.4K likes, 461 dislikes audio only

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A visual understanding of eigenvectors, eigenvalues, and the usefulness of an eigenbasis.

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A solution to the puzzle at the end:

https://www.dropbox.com/s/86yddvprfuaafju/Eigenvalue%20puzzle%20solution.pdf?dl=0

Typo: At 12:27, "more that a line full" should be "more than a line full".

Thanks to these viewers for their contributions to translations

Hebrew: Omer Tuchfeld

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3blue1brown is a channel about animating math, in all senses of the word animate.

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Linear transformations and matrices | Chapter 3, Essence of linear algebra by 3Blue1Brown
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The determinant | Chapter 6, Essence of linear algebra by 3Blue1Brown
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Inverse matrices, column space and null space | Chapter 7, Essence of linear algebra by 3Blue1Brown
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Change of basis | Chapter 13, Essence of linear algebra by 3Blue1Brown
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Eigenvectors and Eigenvalues
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Diagonal matrix
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Last chapter: Change of basis
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3Blue1Brown 3Blue1Brown, by Grant Sanderson, is some combination of math and entertainment, depending on your disposition. The goal is for explanations to be driven by animations and for difficult problems to be made simple with changes in perspective. For more information, other projects, FAQs, and inquiries see the website: https://www.3blue1brown.com
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Essence of linear algebra by 3Blue1Brown
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