Full episode with Gilbert Strang (Nov 2019): ruclips.net/video/lEZPfmGCEk0/видео.html New clips channel (Lex Clips): ruclips.net/user/lexclips Once it reaches 20,000 subscribers, I'll start posting the clips there instead. (more links below) For now, new full episodes are released once or twice a week and 1-2 new clips or a new non-podcast video is released on all other days. Podcast full episodes playlist: ruclips.net/p/PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4 Podcasts clips playlist: ruclips.net/p/PLrAXtmErZgOeciFP3CBCIEElOJeitOr41 Podcast website: lexfridman.com/ai Podcast on Apple Podcasts (iTunes): apple.co/2lwqZIr Podcast on Spotify: spoti.fi/2nEwCF8 Podcast RSS: lexfridman.com/category/ai/feed/
Prof. Strang: "I don't really bother with trying to visualize it. I just go straight to 10 dimensions and everything still works fine." Also Prof. Strang: "SVD breaks a Matrix into three pieces. A Rotation, a Stretch and then a Rotation." What a legend.
He has true passion for teaching mathematics and that reflects in his videos. I have watche I don’t how many of his videos and it helped me a lot! What would have I done without his videos! 😅
I just ran into another RUclips video about linear algebra by one of Mr. Strang's pupils. I knew the name sounded familiar but it wasn't until just now that I realized he was the author of my linear algebra textbook in college (Linear Algebra and Its Applications). I really enjoyed his presentation of the subject and I think he really helped me appreciate it.
Gilbert Strang is being modest, he discovered the beautifully simple Strang decomposition which writes any matrix, A, as a product of the so-called column space of A and the reduced row echelon form of A. Matrices aren't new, decompositions aren't new either, but it took Gil Strang to find that almost unbelievably simple relationship.
Ooh, a rare chance to correct a renowned professor for a small inconsequential math mistake! I've got to jump on this! There are actually much _more_ than 10 ways to rotate an object in 10-dimensional space. Degrees of rotational freedom follow a combinatoric growth rate. So for instance, there are 6 ways to rotate in 4-dimensional space, 10 ways in 5-dimensional space, and so on...
@@thinkandmove479 I'm sure if he was actually working through a problem he wouldn't have made that mistake. It was just an off-the-cuff comment in the middle of a sentence, and I thought it would be a good chance to explain some math.
@Lex Fridman Hey, Lex. You should bring Dr Harold G. White on the podcast to talk about NASA's Advanced Propulsion Physics Laboratory. It may spark more interest in the field.
Great recommendation. I added him to the list. By the way, I try to read all recommendations for guests. Most are fascinating people. I love it! Even if I don't respond, please keep them coming. I'm likely to interview them eventually if you post it.
I took a math course in art school, taught by an adjunct from UC Berkeley, where linear algebra concepts were taught to us. I failed horribly at math in high school but I felt like I "got" numbers after that experience.
@@gzitterspiller I know no meaningful way to talk about a single axis of rotation in 10-dimensional space. There are 2 axis that rotate and 8 axis that are fixed in basic rotation.
Full episode with Gilbert Strang (Nov 2019): ruclips.net/video/lEZPfmGCEk0/видео.html
New clips channel (Lex Clips): ruclips.net/user/lexclips
Once it reaches 20,000 subscribers, I'll start posting the clips there instead.
(more links below)
For now, new full episodes are released once or twice a week and 1-2 new clips or a new non-podcast video is released on all other days.
Podcast full episodes playlist:
ruclips.net/p/PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4
Podcasts clips playlist:
ruclips.net/p/PLrAXtmErZgOeciFP3CBCIEElOJeitOr41
Podcast website:
lexfridman.com/ai
Podcast on Apple Podcasts (iTunes):
apple.co/2lwqZIr
Podcast on Spotify:
spoti.fi/2nEwCF8
Podcast RSS:
lexfridman.com/category/ai/feed/
Rotate, stretch, then rotate. Best one sentence explanation of SVD. Amazing, wow. I love professor Strang.
AGREED
got a presentation about svd today. I'll be ending my presentation with this line.
Prof. Strang: "I don't really bother with trying to visualize it. I just go straight to 10 dimensions and everything still works fine."
Also Prof. Strang: "SVD breaks a Matrix into three pieces. A Rotation, a Stretch and then a Rotation."
What a legend.
i am a big fan of Gilbert Strang he tells us very very very clearly and pure! Thnxs
He has true passion for teaching mathematics and that reflects in his videos. I have watche I don’t how many of his videos and it helped me a lot! What would have I done without his videos! 😅
I just ran into another RUclips video about linear algebra by one of Mr. Strang's pupils. I knew the name sounded familiar but it wasn't until just now that I realized he was the author of my linear algebra textbook in college (Linear Algebra and Its Applications). I really enjoyed his presentation of the subject and I think he really helped me appreciate it.
Gilbert Strang is being modest, he discovered the beautifully simple Strang decomposition which writes any matrix, A, as a product of the so-called column space of A and the reduced row echelon form of A.
Matrices aren't new, decompositions aren't new either, but it took Gil Strang to find that almost unbelievably simple relationship.
Everything I could find on the "Strang decomposition" was just CR decomposition, which was definitely not discovered by Strang
Lex, thanks for bringing interesting universals to the internet.
I've always really enjoyed thinking of matrices through the Jordan decomposition, besides the SVD too
As a math teacher, he is my idol.
Thank you prof. Strang !
Ooh, a rare chance to correct a renowned professor for a small inconsequential math mistake! I've got to jump on this!
There are actually much _more_ than 10 ways to rotate an object in 10-dimensional space. Degrees of rotational freedom follow a combinatoric growth rate. So for instance, there are 6 ways to rotate in 4-dimensional space, 10 ways in 5-dimensional space, and so on...
Thank you for clarification. I also just wondered, if he really made a small mistake here.
@@thinkandmove479
I'm sure if he was actually working through a problem he wouldn't have made that mistake. It was just an off-the-cuff comment in the middle of a sentence, and I thought it would be a good chance to explain some math.
He is a God of Linear Algebra Teaching. He changed my concepts on this subject.
Great Stuff! I love it the way he explains it.
He is so simply good grand 🧡
Amazing, thanks profesor Strang
It's such a fundamental concept to everything ml and ai and still, it sound so banal
Wonderful explanation Professor
The King of linear algebra!!!!
And calculus
@Lex Fridman
Hey, Lex. You should bring Dr Harold G. White on the podcast to talk about NASA's Advanced Propulsion Physics Laboratory. It may spark more interest in the field.
Great recommendation. I added him to the list. By the way, I try to read all recommendations for guests. Most are fascinating people. I love it! Even if I don't respond, please keep them coming. I'm likely to interview them eventually if you post it.
Lex Fridman please interview Jitendra Malik, Bill Freeman, Raquel Urtasun, Vladlen Koltun, ... (see the computer vision trend 😀)
Roll, Pitch, and Yaw
Gotta study singular value decomposition right now
I took a math course in art school, taught by an adjunct from UC Berkeley, where linear algebra concepts were taught to us. I failed horribly at math in high school but I felt like I "got" numbers after that experience.
amazing
SVD should be called RSR
After Guass, gil strang is linear algebra's promoter
I genuinely feel 3blue1brown would be huge fan of you. He seems to be carrying your legacy forward with latest technologies of course.
not even close
@@gzitterspiller what I meant was he is using the technologies efficiently to teach. Ofcourse he can't match him in any other field.
🙏🙏🙏
Rotate, Stretch , Rotate
To me, the picture looks wrong or unusual, I am used to U being m x n and sigma being n x n. Sure, this is not a math class, however ...
Well, it's actually more common that U being m x m, sigma being m x n, Vt being n x n. See en.wikipedia.org/wiki/Singular_value_decomposition
Jackson Joseph Jackson Kimberly Rodriguez Eric
4:19 - "up to ten dimensions you got 10 ways to turn". That is not true. You have N(N-1)/2 ways to turn in N dimensions.
comment the proof
@@leonardod248 en.wikipedia.org/wiki/Orthogonal_group#As_algebraic_groups
You are talking about the degrees of freedom of a rotation matrix... Gilbert was talking about the independant axis you can turn.
@@gzitterspiller I know no meaningful way to talk about a single axis of rotation in 10-dimensional space. There are 2 axis that rotate and 8 axis that are fixed in basic rotation.
Rotation is 2d is around a point, in 3D around a line, in 4d around a plane, I guess it isn’t just n
😁. 😞my Hous is Japan abe gurp Electric or electromagneticEvry nhgat I'm attacked every night🇯🇵🤮🤮🤮abe 🤮🤮🤮