My lin alg prof quite literally believes that every 3blue1brown visualization instantly pops into every students head the first time they see a numbers stacked inside of [ and ]
@JoseRojas24 жыл бұрын
Thanks for taking the time to make this... it is clear, concise and allows the watcher to really understand linear transformation.
@snehsatyam70726 жыл бұрын
3blue 1brown..... hey man it all makes sense.... thanks
@bradzoltick64653 жыл бұрын
Your videos on the Jacobian matrix are excellent. Clear, insightful and beautifully presented. Thank you.
@LaureanoLuna4 жыл бұрын
It could be convenient to address a possible confusion, for it would seem that in substituting the new, slanted grid for the old, we are not transforming e.g. (1, 0) into (2, 1), as claimed, but vice versa, since on the new grid, it is (1, 0) what formerly was (2, 1). I suggest: "note we are not changing the basis vectors so that the same old vector (1, 0) gets the new name (2, 1) but so that the same old name (1, 0) gets the new vector; this is required by the fact that L(x, y) = xL(1, 0) + yL(0, 1), that is, we must have the same quantities x and y of the transformed basis vectors L(1, 0) and L(0, 1)".
@fatemehentezari97793 жыл бұрын
Thank you sooooooo much. You are the best math tutor ever. Thank you for doing such a great job. Your videos are so helpful. They really make a big difference in my studies.
@sakhawat30035 жыл бұрын
Man! I dont know who you are but that was truly enlightening .
@giuseppeinfantone49523 жыл бұрын
3b1b
@7412314789637 жыл бұрын
Are you the 3Blue1Brown guy?
@gideonbuckwalter41287 жыл бұрын
He is!
@niroshas17906 жыл бұрын
Even I got the same doubt. but sir ur amazing really
@pooppooper42522 жыл бұрын
For people who are confused: 4:05 the green vector in the deformed grid/world is DEFINED as [1,0] by people thinking/working with that grid! "We" multiply "their" understanding of a basis vector with the transformation matrix to translate their definition of a basis vector to our language where our basis vector look completely different! The transformation matrix helps us to understand that their definition of a basis vector like [1, 0] should be understood as [2, 1] in our definition of the world! If you wanna make "them" understand what "we" mean when we talk about a basis vector [1, 0] you have to multiply our (basis)vector with the inverse of the transformation matrix to translate "our" definitions of the world to "their" definitions of the world.
@ozzyfromspace6 жыл бұрын
Random video in my feed, but now I'm interested :). On to the Jacobian, I guess.
@everythingaccount96193 жыл бұрын
Didn't realize this was Khan Academy until almost towards the end haha.
@bobhohi6 жыл бұрын
Thank you professor Khan
@Originalimoc6 жыл бұрын
This voice makes me excited 😂
@aniktahabilder25185 жыл бұрын
you are the best teacher.
@edwardarruda72153 жыл бұрын
Covered this in calc 3 without linear algebra
@minkyoungkang54513 жыл бұрын
What a lecture!
@elbay27 жыл бұрын
Very well presented!
@justinward36797 жыл бұрын
MORE MATH MAH BOIS!
@zakariabaknine75387 жыл бұрын
Mind-blowing, pretty sexy graph explaining!
@user-nh1yz5vo4o6 жыл бұрын
you are awesome, 3blue1brown
@danialdunson5 жыл бұрын
hell yeah i love this guy....is there a playlist of every video with this 3b1b dude
@Steger275 жыл бұрын
Question: why does the multiplication of two jacobi matrix, which are functions of one another, equal the identity matrix?
@evertonsantosdeandradejuni37872 жыл бұрын
Do you know why by now?
@sourishwaikar19982 жыл бұрын
This is absolutely beautiful ❤️
@yixuan9213 Жыл бұрын
Great teachers, thanks ❤
@Wam_somp8 ай бұрын
I really wish i'd seen this when i was actually taking linear algebra 😭
@GOODBOY-vt1cf4 жыл бұрын
thank you so much
@peasant72145 жыл бұрын
where is the next video?
@user-or7ji5hv8y3 жыл бұрын
Thank you
@tigerspidey1232 жыл бұрын
so this is eigen vector and linear transfom I assume...
@myelinsheathxd3 жыл бұрын
THX!
@rotnakleugim6 жыл бұрын
what software is used for visualizing transformations?
@jithinpoliyedathmohanan72374 жыл бұрын
KIDS just don't waste your time in school ...skip those classes and go swimming or play soccer..when you are home watch these videos.. Trust me, I wish I should have done that ,instead of wasting all those hours mugging up who knows what boxes full of numbers and derivatives.
@eudemathematicaimmaths92645 жыл бұрын
Hm have a further nice journey. Tnx
@cashphattichaddi7 жыл бұрын
Dope!
@leelomchen31192 жыл бұрын
молодец, Я вас люблю
@chejado7 жыл бұрын
Did we just witness falling down the Golden Spiral? I noticed Fibonacci's sequence in your equations. Starting @ 3:07-ish *Edit - Pascal's Triangle as well, hmm?
@kutuboxbayzan59673 жыл бұрын
He began to use Manim Cast
@sidaliu89895 жыл бұрын
Does anyone have the URL of playlist of this whole series? Thanks a lot.
@VishalSharma165 жыл бұрын
khanacademy.org
@hazelpedemonte44645 жыл бұрын
kzbin.info/www/bejne/jJ7JhYuMfJ6GZrc
@hussainbhavnagarwala2596 Жыл бұрын
sounds like grant from 3b1b :D
@pb487114 жыл бұрын
Shouldn't the first row of the matrix read " 2 1" and the second row read "-3 1". I am confused with why you conflated the x and y coordinates.
@isavenewspapers88906 ай бұрын
The landing spots for the basis vectors go in the columns, not in the rows.
@aussiedog52219 ай бұрын
It's Grant....3Blue1Brown! I guess before he got famous.
@gopalakrishnamraju93215 жыл бұрын
Why 3blue... Is here?
@user-pb4jg2dh4w4 жыл бұрын
what should I say.. god bless you
@mkhex874 жыл бұрын
Isnt this just the Gradient transpose?
@mkhex874 жыл бұрын
With rows for conponent functions?
@roonilwazlib81374 жыл бұрын
Ayyy its grant sanderson!!!
@particleonazock22463 жыл бұрын
Jacobean was from the reign of King James.
@CycWins7 жыл бұрын
Nice video, but did you ask 3Blue1Brown permission to use his animations?
@aeroscience98347 жыл бұрын
That is 3blue1brown
@romanemul17 жыл бұрын
he won a contest of a khan ac. so yes. These lectures were made specially for K.A.
@mjtsquared6 жыл бұрын
Be he IS 3Blue1Brown!
@isaacliu8966 жыл бұрын
Really better if you understand the linear algebra... But fair job anyway
@willyanteixeira7 жыл бұрын
cool
@afterbunny2575 жыл бұрын
3 Blue 1 Brown guy, yes yes yes!!!!!!!!!!!!!
@EggPuffsEdge5 жыл бұрын
Grant I find you
@kina42883 жыл бұрын
dont know why people shower accolade on your explanation, it is messy and confusing.
@connorshea90853 жыл бұрын
69th video nice
@user-pb4jg2dh4w4 жыл бұрын
wwoooooooowwwwwwww
@johndesmond12605 жыл бұрын
I have watched over 100 Khan videos and this these are the first I have disliked. Using the 2 by 1 x, y matrix after the conversion matrix, is very confusing. It makes sense when you multiply by the basis vectors. Also flying the x y matrix to the left of the conversion matrix is really confusing.