Visualize Different Matrices part1 | SEE Matrix, Chapter 1

Visualizing, identity matrix, scalar matrix, reflection matrix, diagonal matrix, zero matrix, shear matrix, orthogonal matrix, projection matrix, inverse of a matrix.

Chapters:
0:00 Visualize Matrix, but how ?
3:07 Identity Matrix
4:02 Scalar Matrix
6:23 Matrix in 3D
7:01 off-one Matrix
8:45 Reflection Matrix
10:54 Diagonal Matrix
14:00 Zero Matrix

Hopefully providing more intuition about matrix transformation on vectors and making the very abstract object of matrix, more relatable to us. This visual approach to matrix transformation also is the foundation to the Grand Finale of visualizing SVD.

This video wouldn’t be possible without the inspiration of the legendary 3b1b :

and the animation software - Manim, which he wrote:

and the Manim Community:

Video Sins:

2. Sorry for calling identity matrix ‘boring’, it’s perhaps the most special matrix that there is. Consider every other matrices that exist does some transformation on vector, the identify matrix is the only one that does nothing. Many proofs in Lin Alg actually relies on assistances of identity matrix.
4. Whenever it said “scale x axis by 3” on screen, it’s the lazy way of saying stretching vectors longer by factor of 3 purely in the x axis direction (horizontal direction).

Image Credits:

super mario, nyan cat, crypto punk, plants vs zombie-peashooter, and Obito

[ShengceZhang-wjpp]

Genius. If this is the way linear algebra is taught, everyone will love it.

[reguret]

this video is on comparable level with 3blue1browns video, I hope you continue doing these.

[rijumukherjee]

I wish I had a time machine and could show this to the younger me. That way I could become good at these stuff and build the time machine!!

[LydellAaron]

Excellent job. 1:03 This content should be viewed first in the curriculum because it is so clear and illustrative.

[utkarshbahuguna]

I see what you did @ 13:04, playing single note for single transformation, then a chord composed of the notes for the combined transformation ✨

[joosephzoostarakajoozoo]

I loved this video. I'm currently self learning matrices and linear algebra for ML and this massively helped me understand. You really do feel similar to 3b1b's teaching style, the content flows well. Thank you.

[Mk_]

W h y is this video not popular already??
The animation and the humour is so good
I love it :D 🖤

[ivanfarinas]

I'm currently studying a Masters in Applied Math and I had never seen these concepts so clearly explained. Your channel should be bigger.

[wargreymon]

omg this is so underrated, probably the best intro out there

[viktorloshak]

very cool. I knew this already but visualizations you are making are really intuitive and just awesome. Thank you for doing this)) Scaling along Y axis was fun by the

[mukeshranjanmallick]

school and college passed thinking matrix world are just collection of numbers with some rules, while trying to learn linear algbera for machine learning, got to see these videos, it's not just number, its so intresting. wow nice, bravo to the author.

[kampos]

Subscribed. Watched all the four videos. 24 carat pure gold with no other unnecessary information.

[rahahoseini]

I enjoyed watching every single second of the video.

[halihammer]

Making Obito disappear by using the zero matrix was just genius! And that the origin was in his eye was the cherry on the cake! Thank you very much for the great video. It helps a lot to strengthen the understanding of what a matrix can do and why it is built the way it is.

[name_with_a_pun]

Obito disappearing into their Kamui using a zero matrix was very smart :)

[sathish]

I prefer the graphics on this one better thsn 3b1b, because its simpler. I find the transformation graphics in 3b1b very confusing. I prefer this one. Whoever made these videos havent mentioned their names though to thank.

[siddhantpathak]

Absolutely brilliant video, it is filled with so many insights and aha... moments. Going to watch all the four videos now!!

[zack_]

This an enlightening foundation/complement to the linear algebra series on 3b1b, so helpful

[matheusreidopedaco]

Thank you for this! I'm learning computer graphics and this really helped.

[sardor]

Just perfect, now Linear Algebra is getting make sense. Thank you! 😊