4 Transformation Matrices in 4 Mins

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📝Description
In this video, we are gonna spend 4 mins exploring 4 transformation matrices in 2D: scaling, reflection, shearing, and rotation. Why not cover translation? Find out more at the end of the video!🤐
📻Timestamp
00:00 Intro
00:38 Scaling Matrix
01:20 Reflection Matrix
02:11 Shearing Matrix
02:59 Rotation Matrix
03:34 Homogenous coordinates

[@Destroyer-pj5tj]

Thanks for making it actually 4 mins unlike other videos

[@hex.16]

Thanks Destroyer for your valuable suggestion. I'll keep that in mind!

[@Alexwawawawawawa]

this solved half my questions. now i have to find other 5 hours of math videos to get my other half.

[@hex.16]

Hey Alex! I am wondering what would be your other half questions?

[@sapandeepsandhu4410]

great work and art

[@hex.16]

Thank you Sapandeep!

[@donbeh8999]

Great explanation! I have a computer graphics exam coming up, and this really helped me get a conceptual understanding of the matrix transformations. I'm looking forward to the explanation of homogeneous coordinates!

[@hex.16]

Thank you Don! Glad that it helps! Yes, the next video is on producing... :-) Thx!

[@nickkumbaydve2481]

Nice explanation!

[@hex.16]

Thanks Nick! I'll keep it up.

[@ComputationalModelingExpert]

Nice channel. Keep going :)

[@hex.16]

Thank you expert for the encouragement!

[@korigamik]

Bro I really liked this video! Can you share what you used to create all these animations and the editor you used? Can you share the source code for the animations as well ❤

[@hex.16]

Thank you Korigami! I use several tools, Capcut, Powerpoint, Davinci Resolve, and the manim(3b1b created) community version. I can only share the code that looks good to me. Sorry, the rest of it is nightmare and I hesitate to share as a clean coder🥶... There you go: www.online-python.com/NY2a9Ll13D

[@Neptoid]

2:50 the card analogy isn't true when you can change the height of the stack. It only works by angle

[@hex.16]

Hi Stopshot, thanks for the comment! If I understand your comment correctly, that the ideal animation should focus solely on the vertical grid line changes, excluding _any_ changes on the horizontal grid line (e.g. the bump at 2:55 ), I agree with your rigorous analysis. Indeed, the card analogy only works when the height doesn't change.

[@Gordy-io8sb]

I think implementing a unique, personal style to your videos would be beneficial. Don't try to ape other people's content styles (3Blue1Brown, for example).

[@hex.16]

Thank you, Gordy, for the advice about my content in the long run. I have great respect for 3b1b and have utilized the manim lib, which is open-source and widely used in the math community. This might explain stylistic resemblances, e.g. the font, color scheme, and animations. I value your advice and will consider diversifying my approach, possibly by evolving my own color palette while still leveraging the powerful tools manim provides. For the upcoming video, I’m incorporating elements from Blender and Rhinoceros, that might be less reminiscent of 3b1b’s signature style. Again, thanks for the feedback! I’ll take it seriously. 🧐

[@heshamosman369]

wwwwwwowwwwww please do a video on homogeneos coordinates

[@hex.16]

Thanks Hesham for the kind words! Yes, I am working on it!