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 ]

Your videos on the Jacobian matrix are excellent. Clear, insightful and beautifully presented. Thank you.

Thanks for taking the time to make this... it is clear, concise and allows the watcher to really understand linear transformation.

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.

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)".

3blue 1brown..... hey man it all makes sense.... thanks

Random video in my feed, but now I'm interested :). On to the Jacobian, I guess.

Very well presented!

Thank you professor Khan

you are the best teacher.

Great teachers, thanks ❤

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.

What a lecture!

This is absolutely beautiful ❤️

Man! I dont know who you are but that was truly enlightening .

@giuseppeinfantone4952

3 жыл бұрын

3b1b

Are you the 3Blue1Brown guy?

@gideonbuckwalter4128

7 жыл бұрын

He is!

@niroshas1790

5 жыл бұрын

Even I got the same doubt. but sir ur amazing really

hell yeah i love this guy....is there a playlist of every video with this 3b1b dude

Covered this in calc 3 without linear algebra

thank you so much

Didn't realize this was Khan Academy until almost towards the end haha.

This voice makes me excited 😂

Thank you

you are awesome, 3blue1brown

MORE MATH MAH BOIS!

what software is used for visualizing transformations?

THX!

Mind-blowing, pretty sexy graph explaining!

Question: why does the multiplication of two jacobi matrix, which are functions of one another, equal the identity matrix?

@evertonsantosdeandradejuni3787

2 жыл бұрын

Do you know why by now?

Dope!

Hm have a further nice journey. Tnx

Does anyone have the URL of playlist of this whole series? Thanks a lot.

@VishalSharma16

5 жыл бұрын

khanacademy.org

@hazelpedemonte4464

5 жыл бұрын

kzread.info/dash/bejne/iKGatrqPd5y5YLg.html

I really wish i'd seen this when i was actually taking linear algebra 😭

where is the next video?

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?

so this is eigen vector and linear transfom I assume...

what should I say.. god bless you

молодец, Я вас люблю

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.

@isavenewspapers8890

4 ай бұрын

The landing spots for the basis vectors go in the columns, not in the rows.

He began to use Manim Cast

Ayyy its grant sanderson!!!

Why 3blue... Is here?

sounds like grant from 3b1b :D

cool

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.

3 Blue 1 Brown guy, yes yes yes!!!!!!!!!!!!!

It's Grant....3Blue1Brown! I guess before he got famous.

Isnt this just the Gradient transpose?

@mkhex87

4 жыл бұрын

With rows for conponent functions?

Really better if you understand the linear algebra... But fair job anyway

Nice video, but did you ask 3Blue1Brown permission to use his animations?

@aeroscience9834

7 жыл бұрын

That is 3blue1brown

@romanemul1

7 жыл бұрын

he won a contest of a khan ac. so yes. These lectures were made specially for K.A.

@mjtsquared

6 жыл бұрын

Be he IS 3Blue1Brown!

Grant I find you

Jacobean was from the reign of King James.

dont know why people shower accolade on your explanation, it is messy and confusing.

wwoooooooowwwwwwww

69th video nice

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.

🙏 Nothing Special..? 🪔