Gilbert Strang: Four Fundamental Subspaces of Linear Algebra
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- Опубліковано 15 чер 2024
- Full episode with Gilbert Strang (Nov 2019): • Gilbert Strang: Linear...
New clips channel (Lex Clips): / lexclips
Once it reaches 20,000 subscribers, I'll start posting the clips there instead.
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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.
Clip from full episode: • Gilbert Strang: Linear... If you enjoy these clips, subscribe to the new clips channel (Lex Clips): / lexclips Once it reaches 20,000 subscribers, I'll start posting the clips there instead. 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.
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Gilbert Strang is a professor of mathematics at MIT and perhaps one of the most famous and impactful teachers of math in the world. His MIT OpenCourseWare lectures on linear algebra have been viewed millions of times.
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Full episode with Gilbert Strang (Nov 2019): ua-cam.com/video/lEZPfmGCEk0/v-deo.html
New clips channel (Lex Clips): ua-cam.com/users/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:
ua-cam.com/play/PLrAXtmErZgOdP_8GztsuKi9nrraNbKKp4.html
Podcasts clips playlist:
ua-cam.com/play/PLrAXtmErZgOeciFP3CBCIEElOJeitOr41.html
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/
i guess it's pretty off topic but does anybody know of a good website to watch new tv shows online?
@Zaiden Ignacio try Flixzone. Just search on google for it =)
@Nathan Ares Yup, been using Flixzone for years myself =)
@Nathan Ares thanks, signed up and it seems like a nice service :) Appreciate it !
@Zaiden Ignacio glad I could help =)
wow the level of detail from the editing to the podcast . Awesome 👏
I learned linear algebra by taking 18.06 on MIT OCW. I thought it was boring at the time but I pushed through. I'm glad I did.
this man along sheldon axler, lin alg legends indeed
The 1 dislike is from someone who failed linear algebra
RIP dislikes 😢
NM junior senator Martin Heinrich was a mechanical Engineer. In the house, Democrats Raja Krishnaoorthi (D - IL), Paul Tonko (NY), and Jerry McNerny (CA) were engineers, as were Republicans Greg Gianforte(MT), Joe Barton (TX), Bruce Westerman (AR), and Thomas Massie (KY). As a New Mexican, I'm proud to say two out of eight (Heinrich and McNerny) are from my hometown of Albuquerque, NM.
amazing 1806 linalg stuff, I really wonder about the history of math like the history of most other things
Vector is a quantity that has both direction and magnitude. So any movement away from a point of origin is direction, and the distance of that movement is the magnitude. A fourth dimension within a matrix is simply a point at x, y, z and adding another x or y or z from that new point. And this has a fractal type nature to it. It can continue on to unlimited dimensions.
This is not true in general. A vector need not have a direction nor magnitude for it to be considered a vector. For example, the zero vector has no direction. A vector is simply an element of a vector space
@@Rozenkrantzz Is just semantics, because one can argue that has every direction (undefined) and has a magnitude which is zero.
@@jorgeroman2058 1. I disagree that the zero vector points in every direction. That concept seems ill-defined and meaningless
2. There are vector spaces with no notion of direction whatsoever. We define "direction" using an inner product. Thus, a vector space with no inner product defined has no meaningful concept of direction defined.
@@Rozenkrantzz The inner product exists and is of value zero, meaning that is orthogonal to every vector, I don't argue that cannot have direction, but also can be argue the opposite because in not well defined, is all about semantics.
@@jorgeroman2058 the only point I'm trying to make is that saying "a vector is something with magnitude and direction" isn't true for everything we consider to be vectors since there are vectors with no meaningful concept of magnitude or direction. Instead, the most accurate reply to "what is a vector" is "a vector is an element of a vector space"
Strang is in the UA-cam Hall of fame
I'm learning linear algebra listening to his lectures for machine learning...
Am doing the same. Learning Algebra for machine learning. I have started with Khan Academy. Do you think that is a good idea ? I mean MIT breathes maths. I wanted to learn the basics before i go into the MIT course and probably Imperial course on coursera.
being honest i think no one can properly imagine things in 4+ dimensions.
I’m thinking of Carl Sagan’s “Flatland” explainer, which concludes with something like: “So while we can’t *imagine* four dimensions, we can certainly *think about* them perfectly well.”
well duh. it’s like saying no one can imagine infinity.
Some dude who won the fields medal (for his work in 4d space) said he could
Except that if we live in a 4D world, there's no way to think except "in 4 dimensions"
... It amounts to little more than seeing objects and interpolating the shadowed areas as visual data. We are actually only ever looking at a 2d image of our visual field cast onto the retinas, the difference between them providing the sense of depth. So we don't see in three dimensions, we just think of three dimensions, extrapolated by two adjacent planes (retinas). If you have only one good eye then you are seeing a two-dimensional representation of the world, and if you have two good eyes you are using four dimensions, precisely described by the column and row spaces of a matrix, where your left eye image is the row space, right eye the column space, and the world you see is the result of linear operations in these two. Four dimensions is where you actually live.
@@haniamritdas4725 wha😧