Linear transformations and matrices | Essence of linear algebra, chapter 3

35 thoughts on “Linear transformations and matrices | Essence of linear algebra, chapter 3”

1. 1:12 I think a better term would be 'transportation'

2. Outstanding sir

3. Holy crap yes. My precalculus class made us spent weeks learning matrix multiplication and calculating determinants by hand without once telling us what any of it was used for.

4. This video made me moan

5. Could anybody tell me how to relate two conditions of linear transformation Additivity and homogeneity to lines must remain line (cant be curved) and origin cant be moved?

6. 👃👃👃I have no words than this

7. holy crap thank you so much 3b1b this is such a frikin great video aaaaaa

8. Unbelievable.. incredible explanation. Thank you, sir.

9. That's… it? No confusing rotation and addition and inverses and coordinates?

10. 10:48
    Can anyone confirm me that the graphical representation of the transformation of I(hat) and j(hat) is correct or not at 10:48.

11. And I am sure there is a space where all dead materials is stored and your all source of energies are connected to dead space….may be🤔

12. Humans can never stop the process of death Wich is necessary then any other science or technicalities

13. But really sir you are amazing

14. I don't know🤣😂

15. And the concept goes towards the creater that what is the meaning of origin?? What is behind of origin?? What is inside in the origin ???? May be there is a infinite galaxies inside the origin ???

16. There is no distance at all it's is just second name of (scaling)

17. If really in real life distance exist then why after zoom out that distance goes to smaller always ???? Why it can't be bigger then original distance??? I assume that no one is moving everyone is fixed along his or it's position and just there is transformation 🙆

18. May be the idea of creating defined things on the basis of undefined (HYPOTHESIS without evidence) terminologies is wrong there is a uncertainty

19. May be the I j basis produces the energy and transformations changes the shape of those energies…

20. THANK YOU

21. Each point gets a name… the name is that point… the name is its' description… the de(s)cription has meaning within set rules/bounds… the rule/bound is a procedure… the only practical function it has IS visualization. If you ever spent any time leaning this and failed to visualize, you wasted your time. The system has wasted your time.
    Before the eye (visual sensor) evolved, organisms had no perception of space, only of properties which inadvertently exist within it/as it, and since it evolved it has served the same purpose as all previous, which have also been retained.

22. How is this not thought before trigonometry ? Looking back at my school years, no wonder the curriculum seemed aimless. Development of these basic concepts should be leading into physics in short order, instead the system keeps the fields apart rendering information useless. Teachers would have to be a lot less specialized, which would automatically increase the teacher per student ratio.

23. OMG I'm final year CS undergrad and it's now that I came to know the actual meaning of matrix multiplication 😵. It was beautiful. I can't stress enough how thankful I'm to you

24. try watching this on lsd

25. genius video. Thank you!

26. Tfw you take out a student loan out to understand less than this

27. Good video, nicely explained the concept..but too much of graphics/rotations is distracting

28. You are amazing!
    I cannot even begin to describe how happy I am to have watched this!
    Thank you:)

29. This is math-o-gasm!

30. 4:26 In other words, it started out as a—

    kiss, how did it end up like this?

31. Awesome. Just awesome.

32. Thankyou so much.no words to describe my gratitude

33. You're reading a comment whose writer had his ass saved by 3blue1brown

34. STOP BREATHING IN MY EARSJMNVBNFJKN V

35. This is mind blowing! Thank you!

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