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Essence of linear algebra preview

3Blue1Brown

8.7M subscribers • 42 videos on Hallway

YouTube
  • Recommended by 12 people: 11 on Hacker News and 1 on Lobsters.
  • May be out of date. Uploaded 10 years ago, in an area where tools change fast.

Beginner. No background in the topic needed.

2.7M views10 years ago12 recommendations

Computer scienceAI and machine learningMath for programmers

Grant Sanderson introduces a series of animated videos designed to build geometric intuition for standard linear algebra concepts.

Home page: 3blue1brown.com/ This introduces the "Essence of linear algebra" series, aimed at animating the geometric intuitions underlying many of the topics taught in a standard linear algebra course. Error corrections: - At one point I mistakenly allude to calculators using the Taylor expansion of sine for its computations, when in reality most use CORDIC (or something like it). - Around 30 seconds in, there is a typo in how the determinant is written, which should be ad - bc Full series: 3b1b.co/eola Future series like this are funded by the community, through Patreon, where supporters get early access as the series is being produced. 3b1b.co/support Thanks to these viewers for their contributions to translations French: @bapraAlbert Hebrew: Omer Tuchfeld ------------------ 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: 3b1b.co/recommended 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

12 people recommend this

What people say. Recommended as an exceptionally clear, visual introduction to linear algebra concepts that helps build geometric intuition before diving into the math.

avon Lobsters • Recommends

The Essence of Linear Algebra
19View on Lobsters

wycon Hacker News • Recommends

On “How a Kalman filter works, in pictures (2015)”

Wow, this lecturer is great! I think this is the most intuitive explanation of Kalman filters I've seen yet. I've seen other lecturers try to quickly jump into state space and lose students with big matrices. I would have paid good money for this if I wasn't already familiar with the material. The clarity is up there with The Essence of Linear Algebra: link to this video Trading math videos on the Internet--definitely nerds.
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Double_Caston Hacker News • Recommends

On “No bullshit guide to linear algebra – v2”

Fror a high-level overview of linear algebra, 3Blue1Brown's youtube series I cannot recommend highly enough. link to this video
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makmanalpon Hacker News • Recommends

On “Special Linear Systems and Cholesky Factorization for Programmers”

For linear algebra basics, I also especially recommend 3Blue1Brown's youtube channel and his "Essence of" series: link to this video I've never seen the material presented more clearly - it's completely visual and focused on building intuition first.
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hexane360on Hacker News • Recommends

On “Down with Determinants (1995)”

If anyone's looking for a (high level) overview of linear algebra, I'd highly recommend 3blue1brown's video series: link to this video It's mostly graphical, and is really helpful in forming and cementing an intuition for linear algebra.
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dvddgldon Hacker News • Recommends

On “Ask HN: How to self-learn math?”

Two quick things I can recommend without hesitation, which focus on an intuitive understanding of concepts: 1. Essence of Linear Algebra mini-series - link to this video 2. Better Explained website - link YouTube has a lot of high quality math content, it definitely helped through university. It's also worth mentioning the Stanford U courses. The main takeaway I have for you is learn the concepts intuitively first, then spend the time to play around with them on paper until they sink in. Some things will be easy, some will be frustrating, much like programming you will walk away from a frustrating problem and have an epiphany while doing something completely different. All the best and have fun!
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c3534lon Hacker News • Recommends

On “Matrix Multiplication”

It at least cuts down on the amount of time you have to explain the mechanics of it. This is more intuitive to memorize than an algorithm composed of bullet-point instructions. For intuition, I highly recommend link to this video - I think both the intuition and practicing the details should be learned.
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espeedon Hacker News • Recommends

On “Why does e to pi i equal -1? (2015) [video]”

See the "Essence of Linear Algebra" (visualized) by the same author -- it should give you more intuition into the nature of the transformations: Essence of Linear Algebra link to this video
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espeedon Hacker News • Recommends

On “Big Picture of Calculus (2010) [video]”

Have you seen the Essence of Linear Algebra video series posted to HN a few days ago? Seeing the geometric transformations animated gives you intuition hard to develop otherwise: Essence of Linear Algebra (visualized) link to this video
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afarrellon Hacker News • Recommends

On “Ask HN: How do you unwind at the end of a day?”

Ooooh, these are nice. Here are mine: Extra History: stories of historical incidents — link Real Engineering: mostly materials science — link - Wendover Productions — mostly transportation - link Tom Scott: a bit of everything — link - Jay foreman: Urban planning and maps — link The Engineer Guy: Manufacturing — link Practical Engineering: Mostly Civil Engineering — link 3Blue1Brown: Math, visualized to me more intuitive — link to this video
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skadamaton Hacker News • Recommends

On “Communicating Advanced Mathematics to Kids”

…y favorite videos by Grant: - "What does it feel like to invent math": link - On the visual intuition behind a hard problem on the Putnam exam - "The hardest problem on the hardest test": link - From vectors to matrices to vector spaces to higher-level ideas like the link between linear algebra and calculus: "Essence of linear algebra" series: link to this video What I especially like about Grant's videos, is that he often walks through what a mathematician would do, the questions she would ask, etc.…
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dyaroslaon Hacker News • Recommends

On “Matrices from a geometric perspective”

For an article like this I find that static visualizations aren't anywhere near as effective as dynamic ones found in a similar explanation here (3Blue1Brown on Linear Algebra Transformations) link to this video
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hiaux0on Hacker News • Recommends

On “Ask HN: How to self-learn math?”

…!) and can expand from there. Be it to watch his maths fundamental ((1)) series 0,1 or just rewatch. ((1)): As in any other things, knowing your fundamentals is significant to the understanding of a topic. It won't help you at all if you can apply (copy paste) some machine learning techniques if you don't know about linear algebra at all. 0: link to this video 1: link…
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u/sjh919in r/compsci • Mentions

On “Linear Algebra w/ Computer Science Application Resources?”

For understanding linear algebra concepts, check out 3Blue1Brown's Essence of Linear Algebra videos. Linear can be applicable to a *lot* of fields but one that I personally enjoy is graph theory. It and linear compliment each other very well. Maybe check that out.
33View on Reddit

u/DebuggingPandain r/compsci • Mentions

On “Learn mathematical tricks with matrices to solve algorithmic problems”

This is not focused on algorithms, but if you want to get a feeling for linear algebra, this video series helped me a lot! Getting an intuition for mathematical operations really helps you recognizing situations in which you can apply certain "mathematical tricks".
6View on Reddit

tron Hacker News • Mentions

On “Help support math education channel 3blue1brown (the Triangle of Power guy)”

The creator of the Triangle of Power ( link ) and the Essence of Linear Algebra ( link to this video ). He is now trying to focus full time on online math education.
View on Hacker News