Prof. Strang gave his final lecture before retirement yesterday. He has touched the lives of millions of students. Please watch his final lecture just to see the emotion filled comments of his students from countries across the world. Thank you, professor!
@maxlee6986
Жыл бұрын
China along has nearly 3 million views, he's a legend.
@solaokusanya955
10 ай бұрын
May the universe keep and always bless prof strong, You see that part 5:20 when he rhetorically asked that question was as of he saw my soul... Only today , have I fully intuitive understood the whole idea of matric maths... I am an autodidact, polymath in the making that I am trying to switch to all tech and maths science as I see that this is the present and the future, and slowly I am getting all the "first principle" of things so I can be relevant in life.... Hopelly I get a scholarship to help my journey too... I keep learning...
@nicbouchard153
6 жыл бұрын
When you didn't study for your final exam and you have 16 minutes left
@kaoutharasma6567
6 жыл бұрын
x"D !! Damn
@harishussain764
5 жыл бұрын
I feel your pain
@jennyispoop4
5 жыл бұрын
Me right now haha
@gogatesudeep
5 жыл бұрын
Sames XD
@clementchidozie4009
5 жыл бұрын
lol
@yael3326
4 жыл бұрын
when he emphasized "M-I-T blackboard" i felt that flex. my professors only use regular blackboards.
@eyelss5659
4 жыл бұрын
In my school, they use a whiteboard
@bngr_bngr
4 жыл бұрын
Yael Manlangit my professor used an overhead projector.
@uzairakram899
4 жыл бұрын
I hate black boards
@gold4963
4 жыл бұрын
Uzair Akram Don’t be racist.
@studentcommenter5858
4 жыл бұрын
He wasn't trying to flex. He was just trying to explain concretely. This happens when you spend a lot of considerable time in "maths world"
@noonansean1979
8 жыл бұрын
Wish I had seen this when I was taking Linear Algebra. Wonderful short lecture.
@JustinGarfield1
2 жыл бұрын
I don't have any degree in math but I have been studying it for 2 years. I just bought a linear algebra book and I find this stuff so fun to do.
@Regular.Biceps
2 жыл бұрын
Which book is that? I'm also trying to study myself to have a shot at becoming data scientist
@zacharyadler4071
4 жыл бұрын
The reason it is called the left null space is because it is typically obtained by analyzing vA = 0 which is essentially the same thing he did to calculate the left null space but he presented it differently with transpose of A
@MrSimmies
Жыл бұрын
Thank you. Could you tell me why the null space MUST be perpendicular to the row and column spaces? Thanks!
@teuzzxv4676
20 күн бұрын
simplesmente Dr. Strang melhor prof de algebra linear do planeta
@MrSimmies
Жыл бұрын
Phenomenal lecture as usual from Professor Strang. Thank you sir for your contributions and enjoy your retirement!
@JalenF
4 жыл бұрын
The math he did at 4:00 blew my mind
@yinghaohu8784
4 жыл бұрын
Nice Tutorial. I read this in a Linear Algebra book, about 3 years ago. Fortunately I didnt forget them. Until I watch this Video, I understand the concepts and relationships between these spaces.
@Fishofrank
Жыл бұрын
dang right at 15:15 i could feel everything all coming together
@mathewschau9361
5 жыл бұрын
Is there a reason why the null space is perpendicular to the row space? 5:23 The explanation only proves that it is perpendicular but not why it would be in the first place.
@LisaCoffee-i4s
2 жыл бұрын
Vector product
@lozotau
4 жыл бұрын
Thank you, prof Gilbert Strang.
@clapdrix72
4 жыл бұрын
"Only has 1 puny vector..." Love it
@spiralofinspiration3653
2 жыл бұрын
Genius explained and distilled into an easy to grasp video
@chuckstarwar7890
3 жыл бұрын
Statistics and linear algebra are the most interesting topics. These two math classes can truly help you have more fun, logic, and money.
@DoctrinaMathVideos
Жыл бұрын
Having an in-depth knowledge of these two topics can prepare you for the study of Artificial Intelligence.
@educatorofeducation6431
2 жыл бұрын
the blinking scene is for morse code guys,, respect that fuuckinng man
@Jab_hutt
4 жыл бұрын
Just watched it, mind wondered off at the end, but was just pleasant to look and hear. Thanks!:) Legend.
@BGasperov
6 жыл бұрын
what a beautiful metasummary of linear algebra, kudos to prof. Gilbert for the amazing mini lecture.
@light7958
7 жыл бұрын
thank you professor Strang
@김유낭-o3i
2 жыл бұрын
아주 좋아요
@nguyenbaodung1603
3 жыл бұрын
Lets admit it. He saved almost of us from those linear algebra boring lecture from our college professor.
@donmoore7785
Жыл бұрын
Imagine having Professor Strang - makes me almost want to go back to college and take engineering again. He's amazing, and now enjoying a hard earned retirement.
@WebmastiInpage
8 жыл бұрын
sir Gilbert strang
@christophersedlak1147
Жыл бұрын
thanks
@apdj94
2 жыл бұрын
You can tell how smart he is from the size of his chalk
@Querulus
2 жыл бұрын
I'm here for the actual full picture; a chalkboard wall filled with 'Fermat's Last Theorem' and towards the end of it, a bunch of angry nicks ingrained into the slate.
@JulieIsMe824
4 жыл бұрын
Great and amazing prof. Thanks! so rewarding!
@Jabalov
4 жыл бұрын
A M A Z I N G !
@donarnold8268
4 жыл бұрын
Thank You! Straight to Facebook!
@rpitay6326
6 жыл бұрын
really good teacher but what about linear transportation , determinant etc
@ako969
6 жыл бұрын
In our class, we call the left-null space just 'null space'. I don't think I have seen left null space
@alvarocoronado5842
4 жыл бұрын
This was awesome
@tspoon1618
2 жыл бұрын
Blink with your left eye every time he says something interesting
@ma.4752
5 жыл бұрын
I love you ❤️ Keep the good stuff, precious you
@kutilkol
5 жыл бұрын
really great! but go with speed 1.25
@johnbigger9138
4 жыл бұрын
Smh, I see the left nullspace gets treated like a second class citizen again at 10:00
2 жыл бұрын
I am confused but that is okay
@SkyRanger999
4 жыл бұрын
I am not even taking linear algebra. Why am I watching this?
@IanRichardArko
6 жыл бұрын
Maybe the people at MIT should invent a blackboard that can fit an infinite plane?
@atimholt
4 жыл бұрын
You could fit more branching ideas if you use the hyperbolic plane. If you can map all the concepts to a tree graph, every branch could have more than enough angular space to expand upon the idea with. If you want to illustrate Euclidean principles (or just keep text legible), you can stick your figures into a circle that internally scales linearly in a Poincare disk embedding. Or you could also stick more Poincare disks inside your linear circular regions for asides. Or use apeirogons for enumerating countable sets, etc.
@donfox1036
4 жыл бұрын
Sure, they have. Not only that but the infinite plane can accommodate both blackboards with infinite space left over.
@jacob9673
4 жыл бұрын
atimholt nah. Sounds like it would be inefficient to write on and even more difficult to create, to a smart person efficiency trumps conjecture and uniqueness.
@atimholt
4 жыл бұрын
@@jacob9673 Computers make any math thing easy. UI’s just been stuck in a rut since Xerox.
@BartkovSmirnovsky
4 жыл бұрын
A spherical blackboard should work :)
@bogusmcbogus2637
4 жыл бұрын
The nullspace is also known as the kernel, in case you see that somewhere.
@normanhenderson7300
4 жыл бұрын
Kernel as in computer programming?
@moritzgro2442
4 жыл бұрын
@@normanhenderson7300 No, kernel as in mathematics: en.wikipedia.org/wiki/Kernel_(linear_algebra)
@MultiPooplop
4 жыл бұрын
Thank you!
@High_Priest_Jonko
4 жыл бұрын
Thanks, I see that all the time. Example: A linear transform. T is injective iff Ker(T) = {0}
@High_Priest_Jonko
4 жыл бұрын
Seungchul Lee yeah it’s the set of all vectors which get mapped to the origin
@daylyskater
8 жыл бұрын
best part at 04:40 "not very thick, is it? because it's just a line!" x'D
@thesatwik13
7 жыл бұрын
Read Flatland by Abbott, if you haven't. Especially interesting after Linear Algebra.
@roman51220
6 жыл бұрын
Wink, Wink
@zachcheu4403
6 жыл бұрын
wink wink
@lambda494
5 жыл бұрын
Gil being Gil
@pkgamma
4 жыл бұрын
you're just as thicc as the null space
@pkgamma
4 жыл бұрын
this lecture was in the null space of my brain but now it's in the column space
@astrophysicalevidence
4 жыл бұрын
Wow! I was using Strang's linear algebra book back in 1979 in college! Glad to see he's still going at it!
@JohnSmith-qp4bt
2 жыл бұрын
He’s on life support, though. You should have gone with Howard Anton
@absolutezero6190
2 жыл бұрын
@@JohnSmith-qp4bt how do you know that?
@vibhugupta1082
2 жыл бұрын
Prof. Strang is one of the best if not the best professor when it comes to linear algebra. He makes you visualise all the stuff. Thanks for MIT open courseware for providing this damn good content for free.
@muttleycrew
2 жыл бұрын
Yes it is wonderful to have an ivy league professor as a personal lecturer for free, just remarkable.
@Peter_1986
Жыл бұрын
One thing that I really like about Gilbert Strang is that he has a very easy-going and friendly style. He doesn't feel like one of those intimidating super-serious professors, he feels like someone who genuinely enjoys having a chat with the students and showing cool things about his courses, in a way that also happens to work as actual course lectures.
@CapAnson12345
2 жыл бұрын
Now I need someone to give me the big picture of the big picture so I can understand what he's talking about.
@safakozkan6698
7 жыл бұрын
I want him to adopt me.
@ColeTroi
2 жыл бұрын
It’s not just a blackboard. It’s an MIT Blackboard.
@小明早上好
8 жыл бұрын
He is a wonderful gentleman and a great prof.
@mamadetaslimtorabally7363
6 жыл бұрын
He is indeed. An amazing professor. He is intelligent, mathematically conceptual and didactic.
@derekrieger4699
6 жыл бұрын
I feel special when he winks at me. ;)
@vishal9030
5 жыл бұрын
😉😉😉
@InspektorDreyfus
4 жыл бұрын
Don't feel special, he's just ironic. 😉
@SebWilkes
4 жыл бұрын
His book on Linear Algebra is great fwiw
@Phi1618033
2 жыл бұрын
The way linear algebra is taught is absolutely baffling. If every course began with just this simple 15 minute overview, I'm sure it would spare a lot of students a year of hell.
@heginschristianstrong7707
2 жыл бұрын
I watched this and then realized ditch digging was in my future.
@ricciuccio
4 жыл бұрын
Here is one of the best lecturers in the world.
@strnbrg59
4 жыл бұрын
Must-see video for the rest of us, who were taught that linear algebra is about manipulating matrices.
@xiaozhengshang855
6 жыл бұрын
this is whom I call a good teacher... brief, thorough and "BIG PICTURE" indeed
@RobertMJohnson
2 жыл бұрын
who
@lookupverazhou8599
2 жыл бұрын
@@RobertMJohnson The guy in the video.
@chotenque6877
6 жыл бұрын
This man will always hold a special place in my heart
@lambda494
5 жыл бұрын
I have Gil's latest book ("Linear Algebra and Learning From Data"). It's just like listening to him talk.
@MarkusReinert
8 жыл бұрын
Not quite what I expected from the title, but he is great! Watching the video(s) is very entertaining and informative. Thank you!
@Uncertaintycat
7 жыл бұрын
Best book I have on Linear Algebra is by Mr. Strang. Well worth the read!
@Jimmy-B-
2 жыл бұрын
When you been teaching this stuff all your life and up with an nervous eye twitch
@yourface4248
4 жыл бұрын
the null space, now available wherever vectors are sold.
@kentowakai1234
2 жыл бұрын
Me:smiling and pretending I have a clue.
@donfox1036
4 жыл бұрын
This guy is too amazing. Just when you think he didn't know how to raise the first board, he does it.
@ToniSkit
5 жыл бұрын
I love this Professor. He is amazing and I'm really grateful that he did this , and grateful that MIT hosts it. Thank you
@luisluiscunha
5 жыл бұрын
15:51. No: thank YOU, Sir!
@wadehe740
6 жыл бұрын
When you go with a 1.5 OR 2 speed, dear Prof. Gil is quick and vigorous like a young man! It's the fascinating part of online learning.
@onetwo1817
5 жыл бұрын
!!!
@David-km2ie
4 жыл бұрын
Haha, you know how it works. Everyone can learn at its own pace. (Up to 2x speed ;))
@han5vk
4 жыл бұрын
@@David-km2ie Not necessarily just up to 2x speed :) I often watch videos at 3x or therabouts. Just a simple case of running [document.getElementsByTagName("video")[0].playbackRate = 3] in the browser console :)
@bngr_bngr
4 жыл бұрын
Wade He old guys last longer.
@devvv4616
4 жыл бұрын
@@han5vk you can just download an extension for that in chrome webstore
@GeorgeZoto
2 жыл бұрын
Amazing professor and well explained content! "Oh just by beautifulness, general principles of elegance..." -Professor Strang talking about the left null space
@Rayquesto
7 жыл бұрын
I love Gilbert Strang's commitment!
@IMadeOfClay
5 ай бұрын
Professor Strang is amazing. The best. 5:20: The way he says "You wanna know why?" Like he was about to say something really naughty 😂
@SxC97
2 жыл бұрын
Watching this video after taking Linear Algebra is like looking up lore videos after beating a game. Ohhhh, now I understand what I was doing...
@johnjohn-kd7fl
4 жыл бұрын
ahhh, just when I'm starting to think I have an understanding of how the world works: youtube recomends
@kenpachizaraki4184
4 жыл бұрын
My class had a teacher with a thick accent, was very softspoken, and always blocked the board when writing down concepts while explaining them. I literally learned like less than 10% of the stuff he was teaching. If it wasn't for these lectures, I would have never made it through that class. I didn't even need to show up to class since the grade was 50% midterm and 50% final. I'm paying for an education that I'm not getting. I'm getting it from these videos.
@JeremyChung
2 жыл бұрын
maybe for people that have already learned linear algebra this makes sense but as someone who's about to take it next term... this video is just really confusing
@GregTally
2 жыл бұрын
I still can't figure out how he arrived to the 1, -2, and 1 NULL space numbers. He's assuming too much if he's trying to explain the "big picture" to a layman. LOL.
@PaulDeCamp
2 жыл бұрын
This is awful. If you didn't already understand the subject, you would be completely lost. I did linear programming for 22 years on Wall Street. I used it to buy my food and pay my rent. I never taught it though.
@hermilomoreno6847
2 жыл бұрын
Thankiu very mocht Teacher Gilbert Strang for your excelent explanecion about of the Sistem’s Linear ecuations for any dimensional’s Spaces.
@hanxia9862
6 жыл бұрын
I have an exam in 20 minutes and I'm watching this at 2x speed
@scania1982
2 жыл бұрын
Aaahh, linear algebra. The course should be abbreviated to determinants and matrix multiplication, i.e. 20% of the course.
@solwol2007
4 жыл бұрын
Unanimuse ejeted. Is. Ok. Maximum. Turn. Out. Is.. ioa colludded is. The indicting & the. Judges. & . The. Jurry. .. s
@bluecollar8525
Жыл бұрын
I mean, thia is pretty intuitive, and my textbook covered visualizations and vector spaces in their readings. I think the issue is if you had a textbook that didn't, which hinestly doesnt surprise me, since its almost a point of prode in math for teachers to intentionally make things mroe difficult on purpose so that the smart kids can figure it out amd they can keep a bell curve. Its always "we dont want to spoon feed you, you have to learn how to lrarn by yourself" which basically is just code for "im going to neglect to show you this stuff because i dont care to put in the effort"
@fuzzyjax
2 жыл бұрын
Algebra is stupid. Lol. My brain refused to let it make sense. 9th grade summer school. Still failed. Let’s talk geometry!
@donharrold1375
Жыл бұрын
Beautiful piece of logic, but what are the practical applications? Apologies upfront if I’m doing a Homer Simpson
@alexandersavadelis8121
Жыл бұрын
This was amazing. Thank you for the clear and concise explanation!
@jesusmolina5951
4 жыл бұрын
se le ha quedado estropeado el cerebro tanta matemáticas tiene tics y todo, esta fatal, no lleguéis tan lejos porque os quedáis locos como este señor.
@drios14
8 жыл бұрын
Chalkboard Ninja!!
@suradit7658
Жыл бұрын
And the mystery of why so many American students find mathematics unfathomable is solved. Another example of chaotic teaching presented in a rambling manner.
@alfred-hugogrunschloss4758
2 жыл бұрын
Oh Yeah. Nope. Still no idea (Blank gaze.). I'll just continue to wing it blindly.
@PranavPandey
2 жыл бұрын
To the point explanation and I m also surprised with such recalling capacities of the things 🙏Thanks Sir!
@chensun2427
6 жыл бұрын
i began to find Linear Algebra an interesting Subject after watching this open course!
@mathsmathematics2545
4 жыл бұрын
👍👍👍👍👍
@Phillip.K.J
11 ай бұрын
I love Gilbert Strang
@danamarcy5414
2 жыл бұрын
No wonder I failed linear algebra? I wasn't even in the same room with this guy!!! Dana
@johnkintner
Жыл бұрын
"well I can't draw a plane on this... MIT blackboard" wow MIT step it up
@BackToBackSWE
5 жыл бұрын
Every youtube video on linear algebra I make a connection to something new.
@Calm_Energy
5 жыл бұрын
of the 4 sub-spaces, "left nullspace" ...really? There's gotta be a better name than that we could use?!?!
@Calm_Energy
5 жыл бұрын
@@eswyattnice! Now I'm sold, lol and anytime i explain this I'm going to steal this joke :)
@ThroughOurLensPodcast
4 жыл бұрын
Can't draw an infinite plane on a blackboard at MIT? Pffft. Pathetic.
@john0419
2 жыл бұрын
So is he saying I can null space myself to another universe? 😳😳😳
@adurgh
4 жыл бұрын
At 6:35 he says "zero combination of the rows" but that's incorrect. It's zero combination of the columns; isn't it? Additionally, what are m and n. I'm assuming the matrix A dimensions, but they were used without being defined!
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