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Vectors | Chapter 1, Essence of linear algebra

3Blue1Brown

8.7M subscribers • 42 videos on Hallway

YouTube
  • Recommended by 17 people: 17 on Hacker News.
  • A classic. People kept recommending it from 2018 to 2026.
  • Presented by Grant Sanderson, creator of 3Blue1Brown

Beginner. No background in the topic needed.

13M views10 years ago17 recommendations

Computer scienceGraphics and audioMath for programmersRenderingNeural networks and deep learning

Grant Sanderson introduces the geometric and coordinate-based concepts of vectors to build an intuitive foundation for linear algebra.

Beginning the linear algebra series with the basics. Help fund future projects: patreon.com/3blue1brown Music: vincerubinetti.bandcamp.com/track/grants-etude Thanks to Elo Marie Viennot and Ambros Gleixner from HTW Berlin (www.htw-berlin.de) for contributing German translations and dubbing. Thanks also to these viewers for their contributions to the subtitles Arabic: @Cewkins, Hazem Bengali: Md Rasheduzzaman Czech: @Chnapak Greek: Nikolaos Tsagkas Hebrew: Omer Tuchfeld Italian: mattiacolucci Spanish: Juan Carlos Largo Thai: own doggoV●ᴥ●V ------------------ 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 about new videos, subscribe, and click the bell to receive notifications (if you're into that). If you are new to this channel and want to see more, a good place to start is this playlist: goo.gl/WmnCQZ Various social media stuffs: Website: 3blue1brown.com Twitter: twitter.com/3Blue1Brown Patreon: patreon.com/3blue1brown Facebook: facebook.com/3blue1brown Reddit: reddit.com/r/3Blue1Brown

Why it's here

17 people recommend this

What people say. Highly recommended as the most intuitive, visual introduction to linear algebra for computer graphics and machine learning.

nicebill8on Hacker News • Recommends

On “Introduction to Applied Linear Algebra: Vectors, Matrices, and Least Squares”

The 3B1B series on Linear Algebra is by far the most welcoming and informative introduction to the topic I've ever seen: link to this video
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PinkMilkshakeon Hacker News • Recommends

On “How to Start Learning Computer Graphics Programming”

3Blue1Brown has a great series on Linear Algebra. His explanations are so clear that by the 2nd or 3rd video you'll already understand how it applies to computer graphics. link to this video
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aidoson Hacker News • Recommends

On “Immersive Linear Algebra (2016)”

3Blue1Brown's Essence of linear algebra series is the go to place for learning this material. I've included the link to the series below so people don't get lost in all his other wonderful videos along the way. link to this video
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daekenon Hacker News • Recommends

On “An Intuitive Derivation of Eigenvectors”

If you want to get an intuitive, visual understanding of linear algebra -- including eigenvectors/eigenvalues -- 3blue1brown's playlist on the subject is just ... perfect. link to this video
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vecteron Hacker News • Recommends

On “An Intuitive Guide to Linear Algebra (2012)”

This is ok but nothing is as intuitive as 3B1B's series on YouTube that has been posted hundreds of times on HN 0. Linear algebra is really about linear transformations of vector spaces, which is not captured in this blog post. 0 link to this video
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dr_zoidbergon Hacker News • Recommends

On “A Programmer’s Intuition for Matrix Multiplication”

I strongly recommend 3blue1brown's intro to linear algebra0 for quick intuitions, followed by Gilbert Strangs MIT Open Course12 for (much) deeper detail. Strang is a genius, but Sanderson's graphics and intuitions can be helpful early on. 0 link to this video 1 link 2 link
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trulyon Hacker News • Recommends

On “SoME1 results”

For anyone wondering what 3Blue1Brown is, it's a top Youtube channel with very nicely made explanatory videos for math. The videos on linear algebra in particular are worth it, especially if you do any sort of machine learning: link to this video . The author of the channel is Grant Sanderson. He has recently given a talk at SIGGRAPH 2021: link . As part of developing his Youtube channel, he has written and open-sourced manim, a library for programatically generating animations written in Python: link .
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laplacesdemon48on Hacker News • Recommends

On “An Intuitive Guide to Linear Algebra”

Here's another vote for 3Blue1Brown's series on linear algebra 1. Spending a few hours on this series will easily save you dozens of hours when going through a comprehensive LA textbook. 1 link to this video
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aidoson Hacker News • Recommends

On “Ask HN: Best beginner friendly linear algebra book?”

Essence of linear algebra is an absolutely wonderful series. It gave me an intuition of the subject in a matter of hours in way years of university didn’t do. link to this video
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drfunkon Hacker News • Recommends

On “How do I relearn mathematics for machine learning?”

3blue1brown's visualizations made a lot of things click for me, years after learning algebra and calculus. In my opinion they're the perfect companion to a more formal study with textbooks. Playlist for linear algebra: link to this video
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zvmazon Hacker News • Recommends

On “Linear Algebra Done Right [pdf]”

Linear Algebra Done right did not help me try to demystify linear algebra. Quite the contrary. It is the Youtube channel 3Blue1Brown1 that gave me an intuition of what linear algebra was about, and I am forever thankful to him. Watch it and if you are a teacher, don't be a smug "formalist". 1 link to this video
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traeson Hacker News • Recommends

On “Adventures in Probability”

The entire 3blue1brown series0 on linear algebra is well worth watching, it has really intuitive graphical explanations of a bunch of concepts. Here's the one on determinants in particular1. TL;DW the determinant represents how much you scale the area/volume/hypervolume (depending on dimension) of a shape by applying a matrix transformation to each point. 0 link to this video 1 link
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seanhunteron Hacker News • Recommends

On “An Illustrated Introduction to Linear Algebra, Chapter 2: The Dot Product”

…a Done Right" by Sheldon Axler. It's available for free from the author's website3 and he has made a bunch of videos to supplement the book. There's also an RTD Math full lecture series4 that follows the book and he explains each thing in a lot of detail (because Axler goes fast , so it's beneficial to unpack the concepts a bit sometimes). 1 link to this video 2 link 3 link and link 4 link…
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zvmazon Hacker News • Recommends

On “Immersive Linear Algebra Book with Interactive Figures”

3Blue1Brown1 has opened my eyes on the intuitive understanding of linear algebra, many, many years after taking a first course in linear algebra, which left me completely mystified. 1 link to this video
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mindcrimeon Hacker News • Recommends

On “Organized Resources for Deep Learning Researchers and Developers”

If you haven't already studied Linear Algebra, and want to get a headstart on that, check out the "Coding The Matrix" book/videos from Brown. link link link Also, see the Gilbert Strang video series on Linear Algebra: link and the amazing 3blue1brown "Essence of Linear Algebra" series: link to this video
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edanmon Hacker News • Recommends

On “My story as a self-taught AI researcher”

If you haven't seen it, it might be worth checking out 3Blue1Brown's Linear Algebra YouTube series ( link to this video ). I think it's exactly that kind of "intuition of what Linear algebra is and is for".
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