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Introducing Operation Matrix Because Matrix operations generally break kids’ brains on whiteboards… Matrices aren't just numbers- they are transformations in space Now can actually SEE the geometry: every addition, multiplication, inverse, eigenvalue, and eigenvector becomes a transformation in real-time space. What it visualizes: • Basic ops (add/subtract/multiply) • Transpose,...

58,942 görüntüleme • 7 ay önce •via X (Twitter)

47 Yorum

shadows profil fotoğrafı
shadows7 ay önce

try it here

Pavel Boytchev profil fotoğrafı
Pavel Boytchev7 ay önce

I've tried to teach matrices with a game. Here is the matrix carousel where cubes are transformed by matrices and students have to match animations with matrices: Live game: Instructions:

shadows profil fotoğrafı
shadows7 ay önce

wow!!! this is so interesting

ekim profil fotoğrafı
ekim7 ay önce

@threejs Kids…surrrrreeeee yea I’m gonna use this for my “kid” (bookmarks). 😀

shadows profil fotoğrafı
shadows7 ay önce

@threejs 😀😀

Rami profil fotoğrafı
Rami7 ay önce

Nice work! I would have loved to have something like ths for studying eigen values for the first time.

shadows profil fotoğrafı
shadows7 ay önce

Good luck with it!!

Aaryaman Sharma profil fotoğrafı
Aaryaman Sharma7 ay önce

@threejs Awesome!

shadows profil fotoğrafı
shadows7 ay önce

thanks!!

Allone profil fotoğrafı
Allone7 ay önce

This is brilliant. Matrices clicked for me the moment I stopped thinking of them as numbers and started seeing them as spatial transformations. Making that visual and interactive will save so many students hours of confusion.

shadows profil fotoğrafı
shadows7 ay önce

@AllanGuetta hope it can help students :)

Allone profil fotoğrafı
Allone7 ay önce

Yeah, spatial learning will now have a strong edge with this current tools

Savith Dasanayaka profil fotoğrafı
Savith Dasanayaka7 ay önce

wow. this is amazing.

Enrique Meza Costeno profil fotoğrafı
Enrique Meza Costeno7 ay önce

Wow! Great you inspired me.

shadows profil fotoğrafı
shadows7 ay önce

nice!! :)

Vladislav Kruteniuk profil fotoğrafı
Vladislav Kruteniuk7 ay önce

thats cool

shadows profil fotoğrafı
shadows7 ay önce

Thanks

Jacobers_COM profil fotoğrafı
Jacobers_COM7 ay önce

I love this! I’ve personally struggled with matrix operations! Mainly visualization of the movement so this is gold! Thank you!!

shadows profil fotoğrafı
shadows7 ay önce

glad you liked it :)

Charlie T Beagle profil fotoğrafı
Charlie T Beagle7 ay önce

Amazing! Wish I had this 30 years ago.

shadows profil fotoğrafı
shadows7 ay önce

i know.. i also wanted something like that during university days :)

L’Écho du Corbeau profil fotoğrafı
L’Écho du Corbeau7 ay önce

Very very nice!

shadows profil fotoğrafı
shadows7 ay önce

thanks :)

esp profil fotoğrafı
esp7 ay önce

very cool

shadows profil fotoğrafı
shadows7 ay önce

thanks :)

O💤 profil fotoğrafı
O💤7 ay önce

Thanks for sharing

shadows profil fotoğrafı
shadows7 ay önce

glad you liked it :)

Lamborghini Alfredo profil fotoğrafı
Lamborghini Alfredo7 ay önce

This is a good use of vibe coding

Anton Malofeev 💙 profil fotoğrafı
Anton Malofeev 💙7 ay önce

glowy animation is looks just amazing! watched it several times.. really. feels like it is reward from calculation

shadows profil fotoğrafı
shadows7 ay önce

thanks!!! glad you liked it :)

High Jack profil fotoğrafı
High Jack7 ay önce

Oh this would've saved me so much pain back in the day. Seeing the geometry makes the math click instantly.

shadows profil fotoğrafı
shadows7 ay önce

I know, right! 😀

bee profil fotoğrafı
bee7 ay önce

Superb. Please make a 2D visualizer as well. This is helpful for students getting into Tech Art or VFX TD roles as well 🥰

shadows profil fotoğrafı
shadows7 ay önce

will work something out.. thanks for the suggestion

If Beli profil fotoğrafı
If Beli7 ay önce

Finally someone with geometrical and visual explanation.

Kartikey Pandey profil fotoğrafı
Kartikey Pandey7 ay önce

Wow incredible 😲

shadows profil fotoğrafı
shadows7 ay önce

Thanks!! Glad you liked it..

Hasan Aboul Hasan profil fotoğrafı
Hasan Aboul Hasan7 ay önce

really great! this is what we should be building and helping in education.

shadows profil fotoğrafı
shadows7 ay önce

Hope it helps

Robn profil fotoğrafı
Robn7 ay önce

Would be interesting to see the affects of iterative factoring algos

shadows profil fotoğrafı
shadows7 ay önce

that's some food for thought :)

∞ 𝕁uan ℂarlos profil fotoğrafı
∞ 𝕁uan ℂarlos7 ay önce

Really cool! :)

shadows profil fotoğrafı
shadows7 ay önce

thanks!! just hoping will help students enjoy learning Matrix operations :)

Giedrius Trump profil fotoğrafı
Giedrius Trump7 ay önce

Beautiful!

Vogel Mann profil fotoğrafı
Vogel Mann7 ay önce

bro you call this operation matrix and cant even center the view orbit.

shadows profil fotoğrafı
shadows7 ay önce

really

Ascent817 profil fotoğrafı
Ascent8177 ay önce

would've saved my linear algebra grade

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The Trap in Every Mathematics Lecture If you’ve taken a lot of math courses, you start to recognize a pattern. There’s a moment where the lecturer is warming up with the obvious stuff...add matrices entrywise, scale by α, do the row-column product...and you’re thinking, alright… where is this going? Then you relax. You stop resisting. And right there, they slip in one line that changes how you see the whole subject. When Benedict Gross says "matrices represent linear operators,"he’s telling you to stop treating a matrix as a rectangle of numbers and start treating it as an action. A linear operator is a function T: Rⁿ → Rⁿ that respects two rules: T(u+v)=T(u)+T(v) and T(αu)=αT(u). Once you pick a basis, T is completely determined by where it sends the basis vectors e₁,…,eₙ. Put T(e₁),…,T(eₙ) into columns and you get a matrix A. That is what "A represents T" means...A is the coordinate portrait of the transformation. Now the punchline that makes matrix multiplication feel inevitable. If B represents S and A represents T, then doing S first and then T is the composition T∘S. In coordinates that becomes A(Bx)=(AB)x. So multiplying matrices is really composing transformations. That’s why multiplication is usually not commutative: T∘S is generally not the same transformation as S∘T, and the matrices inherit that noncommutativity. This explains half of Linear Algebra because it tells you what the course is really about...functions that move vectors around, not grids of numbers. A matrix is just the written form of that function once you choose coordinates. Then the rules stop feeling random Multiplying matrices means doing one move and then another, an inverse means you can undo the move, eigenvectors are directions that don’t get turned, and changing basis is just describing the same move in a different language. That one idea makes a lot of linear algebra click. #LinearAlgebra #Matrices #GroupTheory #GLn #MathLectures #Mathematics

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