Lec 3 | MIT 18.06 Linear Algebra, Spring 2005

[NganaJHone]

I am very happy to see the vidoe from you, hopefully the others also are happy for You Multiplication and Inverse Matrices.

[Ondelendo]

Steady I Really Like This Video Multiplication and Inverse Matrices.

[bebeheuy]

Good, I like that you share this video, I wish success always Multiplication and Inverse Matrices

[imegatrone]

I Really Like The Video Multiplication and Inverse Matrices From Your

[bundawartini]

Your Video Multiplication and Inverse Matrices Is Very Useful Sharing

[LnX53]

oh sir thank you a lot !!!!

[djordjezivanovicva]

I didn't know this way for finding inverse matrix called gauss-jordan,at my school,they didn't teach me that,thanks MIT,and profesor Gilbert.

[RoxanaEvelyntb564]

hmz ich hab was unanständiges entdeckt

[monalicematias]

Legal!!

[incanet50]

"si alguien se animara a traducirlo..."

[tshenvideos]

MITL The only place with awesome chalk and black boards. Old fashion learning is the best!

[MrGroberUnfug]

this is the easy way to introduce linear algebra, and all profs should do it like that. not with groups, homomorphisms and vector spaces...

[bhigr]

Ingenious! Great lecture!

[Speedymexx77]

am at a uni where the prof just slides formal definitions at the front. no proper explanations at all. I wish a had a teacher like you Gilbert Strange. But thanks I can at least watch the videos.

[MrFraktur3]

The column by row example at around 14 mins really hit home with the whole linear combination point. Something so simple can flick a switch in your head so it all makes sense, so kudos.

[HiEvanMY]

life saver

[PhxPride1]

Here's what's crazy...I go to a fairly-well respected university in the midwest, and in the first three lectures (roughly one week worth of class at MIT) they covered all of the material it took us three weeks to complete. My teacher comes to class and is too lazy to write anything on the board (slides and pp) while this guy is willing to go out of his way to make sure his students understand the topics. Thanks to both MIT and Strang for giving me resources that are actually useful.

[akhil089]

thanks professor strang

[awaqar]

@akhil089 If you have algebra to deal with you might find it helpful! Check it out! "Speed maths- Multiplying without multiplying". Click on my username and check the vid. Cheers.

[seijurouhiko]

each side has a different audio, one from microfone and another from the hall(something like that).

BAD idea

[LAnonHubbard]

Fantastic video. Love this guy.

[2011avalanche45]

thankyou gilbert !! u rock \m/ !!!!



[trese0000]

Thank You to the girl who bravely spoke out and asked Strang what happened to our coefficient matrix and why did it get transposed @ 38:53. I was like no, please catch yourself or somebody stop him before he does all these wrong calculations. hehehe Cringing as I have to watch and can't do anything. LoL

[flowewritharoma]

great thanks!!

[jimmylovesyouall]

39:52 Gauss would quit, but Jordan says keep going.

[WitantoCom]

great video

[wewtneel]

what happened to the sound this time? loool more echo this time IM absolutely loving studying this way its soooo better than reading GODDAMN books!

he has great proficiency.

but dont forget to practice problems on the topics u go thru it helps retain the lecture ideas

[ihteshamm]

I have done my masters and plans for a phd, but I have come to know that my linear algebra knowlegde fails in my research, Man what i have learnt is nothing.... I need to scarifice my summers listening to these perfect videos.. These guys are really luCky getting concepts in undergrad level......... The third world countries graduates needs to work more inorder to compensate the difference in concepts with developed countries graduates.

Thank you very much...

[anillatoo]

He should have chosen another number instead of 7 to determine the inverse, since it appears too simple when 7 is chosen...

[richardsull119]

@anillatoo I had the opposite reaction. 7 was a fortunate choice (or maybe he really chose it on purpose). The point of the demonstration is the ideas behind Guass-Jordan. There's no reason to make the calculations messier than they need to be.

[SiberianZ]

I cant get the link of the complete course :/

[pedroissler]

fucking genius!

[HighGuy512]

37:44 ... *I think he's done something wrong but I'm not going to say anything until 38:55* :P

(Just in case people get confused at this point)

In any case, a great informative video.

[WestWindBlowing]

thanks , that help me find something new about matrix

[Lionddt]

This is really a good video, it helps a lot for my entrance exam. Thank you so much!

[chrach]

great teacher

[kjelle90]

Wow you were really putting every word and sound into the subtitles........even a sneeze from the audience. :-)

[kylep2]

@kjelle90 The captions are not transcribed by people, it's done by youtube listening to the audio.

[bluntfortruth]

at 31.40 can I also say that a matrix is invertible only if linear combination of its columns can create vectors which are linearly independent.

[pedroissler]

@bluntfortruth I think we're not there yet? Correct me if I'm wrong I'm just revising stuff..

[bluntfortruth]

@pedroissler You are right. I did not knew what will happen next and hence was kind of anticipating things. But now I know that I was right

[hoofhearted1212]

its not even fair how much better this guy is than my prof

[sendaitohoku]

Thank God for the student at 38:58. I thought I was losing my mind for a minute there.

[ZeroDivide714]

He wears the same thing in every video that I've watched...

[tekerirem]

It is a waste of time you can learn much faster through the book.

[sdcororaton]

Great , great lecture because Prfof Strang elucidates and focuses on the key ideas and the intuitive meaning - not just the mechanics as most books and tutorials do. Thanks Prof. Strang for sharing your great mind and your skills as a great educator!

[TheDeliciousb]

He is really great!

[adesva]

He should have groupies.

[DracoRenaissance]

If this is what classes were back at the 2000's, I wonder how good they have become as of now 2010

[Asydeshow]

You're great at explaining matrices.

I'm not so great at understanding them yet ><

[L5XJX]

god i love that chalk

[samuel91222]

fuck,.i just love this prof so much!

[pr0xide]

This is my dream lecturer;

He repeats himself when I ask him to,

He takes a break when I feel like to,

and he is marvelous - a simply amazing pedagogic.

This guy takes math and makes it a journey - It feels like I'm discovering the facts of math as he speaks... <3

[alquiora]

Thanks for the block multiplication explanation. That had always been one of the missing links that I wanted to know. Books suck!

[letifer669]

Thanks for the tip @EricQuagmire, I found some nice tests on Tao's website:

bit (dot) ly (slash) cThsWI

[klavierfan]

why not work out the proofs yourself?(you have a textbook or whatever right?) It's healthier than trying to read it in class.

great video, loved it, hooked since first lecture.

[johnnyamitchell]

wonderful. this professor's enthusiasm is priceless. what a treat to have access to MIT lectures.

[4E65676174726F6E]

I love how every lecture so far they managed to come up with a new and creative way to record sound. It's cute buy annoying.

[xploi]

I'm taking this course (Linear Algebra) at the nacional university of Rosario, Argentina and this lectures were really helpful. We use Strang's book so this is perfect.

[illavrta]

One of my fav math teacher...

[RichandFrosty]

I am attending Purdue, and this course is notoriously hard. These videos help a LOT. thanks!

[KedRui]

lol, the guy doing the subtitles is really funny (students inaudible response) !!! hahahahah. This lesson is pretty well thought out !! damn i wish i went to mit :(

[Milliaamy]

This guy is really good. If he is 20 years younger, I might send him love letters. ha

[EricQuagmire]

@Milliaamy : If Math turns you on, then google out Terrence Tao @UCLA ;-)

[annaat7]

are proofs taught in some other class, or are they not relevant for the course at MIT?

[amrosik]

ha ha.

[LuckyChatt]

I would like to know that too :)

[Euph777]

That blackboard array is epic.

[m3850d]

This lecture videos helped me greatly! Thanks to linear algebra I have passed 2 courses (electrical power dynamics and high and medium voltage networks).

[Legend112112]

I'm studying Linear Algebra at the University of Copenhagen, thank you so much for publishing these videos!

[gomefun2]

hmm... I don't mean to say MIT is dumb actually, only that it seems that the students there are not much smarter than the ones at my school; perhaps their parents are just wealthier. The professor is good though, and this makes me jealous, because I can not afford to go to MIT lol... : (.

They should change how schools work in north america, so that all post secondary schools are free. This means to go to the best school all you need to do is to love to learn(regardless of your parents wealth)

[itsthebanshee]

Actually you don't need to have wealthy parents to go to elite schools like MIT. In fact, Harvard and Stanford have programs that give you a FREE RIDE if your parents make under $60,000/yr (it may be $70,000 but you can check their website). This means free tuition, fees, and room and board. The hardest part of going to these elite schools is usually getting in. There are usually options for families with less income once you are accepted.

[suckbar69]

@gomefun2 That's pretty much what they are doing by releasing lectures like this. Not all high schools are the same in the US, but most of them are so sub-par you might as well be able to opt not to go and simply learn from material like this.

[eyeojo]

How do you know how "smart" they are? Try to get a scholarship-that is the existing solution to wealth disparity, not a wish! There are great professors everywhere, but I agree this one is particularly good. Best of luck!

[skyfaze]

hmm it seems the person that who truly appears dumb is yourself haha according to the person on the bottum

[gomefun2]

he makes a mistake, no1 catches it (lol MIT ppl are dumb I guess). I'm not gonna rewatch the entire video to find the mistake, but he uses a 3 instead of a 2 at some point. just letting you know you are not crazy.

[dmdrummer23]

@gomefun2 it's at 38 minutes (if you didn't already notice).

[TheTmbtw]

Oh my dear advisor, Gilbert Strang :)

[keaneferap]

thanks thank you very much for making this video .. I love mathematics .. thank Professor Gilbert and thanks to MIT

i speak spañish my english is bad

[ball23south]

My professor linear/differential professor is so bad that i had to teach myself everything. I'm so glad i found this. He's a million times better. That's why MIT is so much better than Purdue. They actually have teachers that can teach!!!

[MrSystemVI]

Simply the great!!

Thank you so much MIT and Professor Gilbert Strang.

You have done a great deed by sharing your knowledge to all humans in the world who really want to learn regardless of age, background and other differences, such as given opportunities..

That is a good Karma. Thank you!

[BuddyNovinski]

I heartily agree! When I took linear algebra at Penn State in winter term 1976-7, I had such a hard time with it. I think now it was the approach (too analytical) and the lack of time I put into the concepts (too much time on details). I don't like getting so much thrown at me. I like to mull over the concepts and place them into my longterm memory. Cliff Notes also help!

[WassupCarlton]

@MrSystemVI good thing you're sticking with math and not English =)

[eblusyon]

this is a really good series. thanks MIT

[KaLNFoRc3R]

nice i'm finaly learning stuff xD