Exam tomorrow, somehow hearing Grant's voice was all I needed right now.

@xanderalaric228

2 жыл бұрын

sorry to be so offtopic but does any of you know a trick to log back into an Instagram account?? I somehow forgot the login password. I would love any assistance you can offer me.

@mathiasjayson676

2 жыл бұрын

@Xander Alaric Instablaster :)

I knew this soothing voice was so familiar. The calming voice that brings you peace when sailing through the raging storms of calculus and linear algebra. 3Blue1Brown!

If all the teachers in the world had the ability to explain things like Grant Sanderson, we would have already become a galactic civilization for decades.

"more intimidating than it needs to be" Love it!

SK and this guy are absolutely my favourite online educators

Love these videos. Thank you so much for helping people learn this stuff!

Viusal learning is always better than reading plain text. Nice video!! Need more of this. Gracias!!

is he 3Blue1Brown?

@ValyPCM

7 жыл бұрын

yes, he is

@Originalimoc

6 жыл бұрын

Sounds really like. And yes. He's on Khan academy.

@gimmemoreborisbrejcha9794

3 жыл бұрын

@@Originalimoc He was.

@adityaroshan1688

Жыл бұрын

Yes he is grant Sanderson

@billycheung5114

Жыл бұрын

He not a human

Beautifully explained. My notes make sense now.

how can i find the playlist of this video? or what's the whole series that contain this video??

I've found this theory all day... thank you :)

I can't find the next video after this. It's not in a playlist and youtube doesn't show me which one comes next. I'd like to find the next video please!

I wish they would link the next video in the description

I never thought I could pass the exam but now, I know I will

Super clear. Thanks!

I was just looking for any vids for my test tomorrow and walla!! 3B1B appeared!

grants voice makes me so happy

Why do we use a 1 by n matrix instead of take the dot product ?

Great video. Thanks for the help

I just realize this is Grant Sanderson's voice

"Pause the video, go find a matrix multiplication video and kimda refresh about that." Oh boy have I got a channel for you

3 blue 1 brown guy :D

Started the video; originally just wanted to confirm that it was what I thought it was "i know that voice" and then i watched it all :-D what kind of sucker am I xD

What software do you use for videos and writing?

Ok, and how could I write a common function like f(x) = x^2 + 3x + 5 in a matrix form? Should I split it in two vectors like A = [ 1, 3, 5 ] times [ x^2, x, 1] ? If don't, what am I missing? Thanks.

@ryanjackson0x

2 жыл бұрын

You would still do x^T*M*x and determine M as he does in the video. The vector input to M will have the second value constrained to be 1. The reason is that f(x) yields a single value, and M yields a vector -- they are not equivalent as-is.

How can you multiply 2x1 and 2x1 matrix? shouldn't it be transpose of first one, then 1x2 and 2x1?

How do I do a quadratic Formula with no X squared??

Wow this really helped for exams

Thank you sir !

Great explanation keep up dear

Nice job !

Really nice :)

Thank you!!

Its called quadratic form because this part decides the form(nature) of the curve , based upon the values of a,b,c alone one can determine whether the curve is circle,ellipse,parabola or hyperbola... other linear terms like dx+ey and costant term f gives control over additional customisations to the curve...

Is there a way to epand this to higher derivatives like 3rd or 4th derivatives? How would a "cubic form" look like?

@nathanielsaxe3049

7 жыл бұрын

yup, if you want to use 3rd derivatives you need a 3 dimensional Hessian matrix which contains things like (partial^3 f) / (partial x^2 partial y), 4th derivatives need a 4 dimensional Hessian etc.

@hrsmp

6 жыл бұрын

There is actually a book on Cubic forms by russian mathematician Yuri Manin.

A helpful video - thank you. I am currently working on an efficient way to compute the quadratic form result x^T M x where x and M are given (or at least can be computed based on given rules) but x is a massive vector with 1,048,576 elements and M is a massive 1,048,576x1,048,576 matrix, so multiplying everything out would take forever. I think I have an idea on how to do it, since I believe the rules given allow a shortcut, which I now need to implement. Once I have finished that, I have a task of repeating the process for an even bigger x vector with 1,073,741,824 elements and an M matrix with 1,073,741,824x1,073,741,824 or around 1.15 quintillion elements!

@menelikm9779

6 ай бұрын

But why?

@MrVaskor

6 ай бұрын

@@menelikm9779 For the IBM Research Ponder This May 2023 puzzle

@Elvis0

6 ай бұрын

gl

Thank you

OMG YESSSSSSSSSS 3BLUE1BROWN!!!!!

i've been searching for something related to this, for hours, and can't find a clue. the algebra we studied in school is for scalars, you deal with stuff like ax^2 and x/a or x/a and so on. now with matrices, if instead of a scalar, you have a sequence of scalars, and you want to represent ax^2 for each one of them, you write transpose(a) * x * a if you want to represent [ax, by, cz] you write: diag([a,b,c]) * [x,y,z] where can i find a list of such relations? how to convert equations/functions from scalar form to matrix/vector representation. i've been looking for hours. i want a list of those relations, or the name of this field.

Why is 3Blue1Brown there?

3b1b?

Weird that we didn't cover this until Linear Algebra.

Why is Grant Sanderson on Khan Academy!

i did not expect threeblueonebrown!

i think it's called a quadratic form instead of "pure quadratic equation" because of similarities with linear algebra, where that second term would be nonsensical and unnecessary long

.."more intimidating than it needs to be" . Exactly the thing I always hated!

Thank you so much Sir.../\

it is very nice

Why multiply with x transposed and not just take the dot product?

@EvsEntps

4 жыл бұрын

You can, but you would have to put brackets around the matrix and the x-y vector to emphasise the order of operation, because you can't dot product a vector with 2x2 matrix.

@ryanjackson0x

2 жыл бұрын

Dot product isn't good enough for this purpose because in the dot product operation, the unknowns (x, y, etc.) fall away from the result, and in this case, we need them to find the quadratic form.

Our hero

Plot twist: Grant working part-time at Sal's.

@dominicj7977

3 жыл бұрын

He was an intern

0:55 wrong. It's called a quadratic form because in abstract linear algebra, it comes from something else called a bilinear form, which is a type of map involving vector spaces en.m.wikipedia.org/wiki/Bilinear_form

@Skankhunt-xr5lb

6 жыл бұрын

Aeroscience you must be fun at parties

@tranhuy4713

6 жыл бұрын

+Skankhunt42 if he is invited to one

Where is the next video of this series?

@TheAcujlGamer

4 жыл бұрын

looking into it too

@TheAcujlGamer

4 жыл бұрын

www.khanacademy.org/math/multivariable-calculus/applications-of-multivariable-derivatives/quadratic-approximations/v/vector-form-of-multivariable-quadratic-approximation

0:58

Is that the voice of 3b1b?

Then you are the same guy of 3B1B😃

what exactly is the purpose of the symmetric matrix... Couldn't you generate a quadratic form even without a symmetric matrix?

@rinzhler6922

2 жыл бұрын

3:19 - 3:29

@niravgujarathi5502

2 жыл бұрын

@@rinzhler6922 thanks a lot 👍👍

@rinzhler6922

2 жыл бұрын

@@niravgujarathi5502 👍

Does "form" seem that fancy? Sounded pretty plain to me.

This doesn't seem to work with real matrices of order 3 (Converting a matrix into a quadratic expression).

I love you man from 3blue1brown

😍

love u 3blue1brown

......................Grant Sanderson

Ok am I crazy or is this 3Blue1Brown talking?

I thought I was watch 3b1b for a sec

@ashwaqahmed4890

4 жыл бұрын

He is

3Blue1Brown Jumpscare

thanks, winning chess niow

omg is there anything you don't know?

sound like you said the "n" word at the beginning, lol

@alial-musawi9898

6 жыл бұрын

Chang Qu I always hear this word when chinese people say 那个

reis

@kaandesu4881

Жыл бұрын

allahın belası sınava 10. defa giricem aaaaaaaaaa. ama reis yine iyi anlatmış. 4 ay sonra görüşmez üzere

Any Indians 🇮🇳

@studiant3004

2 жыл бұрын

Yeah, I'm not indian but I totally dont have nothing against you haha