Derivative of a Matrix : Data Science Basics

What does it mean to take the derviative of a matrix?

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[Shambo]

"Please, take a minute to pause and convince yourself that everything on this board is accurate." So difficult to do when I was in school ("several" moon ago) madly scribbling down everything before it got wiped off the board, but now with the internet, with videos, and most importantly with a person who wants you to learn, this is so much easier to absorb. I'm looking forward to teaching my children and using your wise words. Thank you!

[nikitakipriyanov]

12:00 And if A isn't symmetric, the derivative could be represented as (A+At)x, where At is A transposed. Which also looks nice.

[the_iron_laws]

Wow. I haven't taken calculus in years and this video made taking derivative of a matrix seem easy to do and understand. Well done as teaching well is an art form unto itself.

[wanjadouglas]

You're good at this ... extremely amazing....would you mind making a video on the following:
1. Maximum Likelihood Estimation
2. GMM
3. GLS

[dylanbeck]

You are an absolute life-saver! I am a transfer student studying chemical engineering at UC Davis and your videos match up perfectly with what we are taught :) You have helped tremendously and have given me the knowledge to solve my overly complicated problem sets. Keep making videos and I'm certain you've helped many others as well. Brilliant instructor.

[johnk]

You are really good at what you do (i.e. making this simple and understandable). Hats off to you.

[ibbgkgs]

Everyone is sleeping and I'm here watching derivatives of matrices

[divyamanify]

Absolutely love it! It was so useful to have the analogy between regular calculus and matrix calculus shown. Makes things much more intuitive.

[redangrybird]

You are a wizard, thanks.
I've watched the video 3 times and picked up few things that I didn't in the first time. I'm a little slow though.

[b.f.skinner]

Super easy to follow along and clearly explained, thank you!

[Clairesuismoimaispas]

this video just saved me!!! Exactly what I need for my Econometrics assignment!

[tx]

One question: why the derivative of the second example is a column vector? (9:35) I thought it was a row vector, similar to the form in 3:38 (the first row: [df/dx1 df/dx2]. A great video! (It is the same problem as Ravi Shankar’s two months ago)

[ashablinski]

Thanks for all your work ritvik! Especially explaining things with a PURPOSE, not just math porn with no applications in real world.

[ethanbartiromo]

I got this randomly from YouTube’s algorithm, and I’m gonna give this man a follow! I’m a math major

[TawhidShahrior]

man you deserve more spotlight. thank you from the bottom of my heart.

[jean-michelgonet]

Came here looking for LOWESS algorithm, and it turns out that the the derivative of xTAx plays a role in it. You helped me understand what matrix derivation is, plus solved my very particular need. Thanks.

[kilian]

So it’s basically a weird notation for a Jacobian?

[algotrader]

Great video, you have way with drilling the concept into people's heads. Just awesome.

[fjficm]

This channel is what we ALL needed, its great ur a genius. Should be a uni lecturer

[suyashsreekumar]

This really simplifies the matrix derivative.
Thanks alot for making this so simple to understand!