Complex Matrices ( An intuitive visualization )

Complex Matrices are not given enough credit for what they do and even when they are used its often introduced as an foreign entity. This video was made to shed light on such a misinterpreted topic.

Timestamps

00:00 - Introduction
00:11 - Matrix
00:45 - Complex Number
02:50 - Complex Matrix
05:15 - Visulization
07:33 - Pauli Matrix
08:44 - Vector Matrix duality
10:02 - 3D planes
13:24 - 3D rotations
16:34 - Animations and Outro

-by Darsh Kachroo
End music: Music by lesfm from Pixabay

[amansawarnaya]

Awesome explanition sir . Found this video amazing ❤

[agrajyadav]

at 5:40 you wrote the vector first and then the matrix, which in standard notation is mathematically incorrect as the system becomes incapable of multiplication. Just a small typo prolly, otherwise great video!

[jaykane]

Sorry, I don't fully understand why we can't multiply v with R right off the bat at 15:25. I might just be being stupid or have missed something earlier in linear algebra - in which case I apologise. If not, please, would you mind explaining why we can't multiply it? Thanks! Also, this video has helped me a lot!

5:55 This order of writing vector and matrix is opposite of what has been standard for like 100 years

[angeldude]

Why would you have to convert to a matrix when you can do the math entirely in terms of yz, zx, and xy? The role of i is also very close to the value xyz, which appears to be a volume.

[nidhikulkarni]

You've explained it so well, sir! Love your interpretation! Thank you, sir! 🙌✨