Great visualization with the "dials" in the matrix and very nice way of connecting 2D transformations with the side of a 3D cube. I never saw it so neatly presented.
I really enjoyed this explanation - one of the best I have seen. I particularly liked your dial visualisation! I always knew it did that but seeing each dial and how the vertices moved accordingly really made it click - especially in the 3D mapped to 2D case.
Very cool! The perspective of holding all matrix values except one constant and shifting it while seeing the effect on the square is new to me. Great stuff, keep it up, subscribed!
This was an interesting and helpful visualization of affine transformations. I liked linear algebra, programming, and their applications in games, and I always wondered how to visualize the points of the 2d affine transformation in 3d space. I also never noticed that the rotation matrix could also be a composition of shearing and scaling (but also I learned that it is also a composition of two reflections).
An excellent piece of video. Teaches you 2 days of studying the topic on the article. I can't imagine the effort being put onto these visualization tho. Thanks!
