Lec 5 | MIT 18.06 Linear Algebra, Spring 2005

[faiziisonline]

i am in love with gilbert <3

student of Electrical Engineering finding his lectures THE BEST!

[NganaJHone]

I am very happy to see the vidoe Transposes, Permutations, Spaces R^n.after you give this

[Ondelendo]

Steady I Really Like This Video Transposes, Permutations, Spaces R^n.

[bebeheuy]

Good, I like that you share this video Transposes, Permutations, Spaces R^n, I wish success always

[willamricard]

Nice Video Transposes, Permutations, Spaces R^n.That You Share , So Very Nice Thanks You

[imegatrone]

I Really Like The Video Transposes, Permutations, Spaces R^n From Your

[bundawartini]

Your Video Transposes, Permutations, Spaces R^n.Is Very Useful Sharing

[anakmudajaman]

after i watched this video Transposes, Permutations, my insight is very open because the video is very good to give information

[MrMomomade]

I think this is love

[mariansabianhh]

your lecture is simply excellent, i'm very thankful to have the possibility to see it

thanks to the lecturer and mit from argentina

[RickieRedacw433]

hm hab was geiles entdeckt haha

[agapitoflores001]

Long live MIT. Thanks for sharing education to all.

[violetmoonster]

thanks for posting this video..

[thebigfootme]

excellent lecture!

[59thbridge]

This is awesome. We use the fourth edition of Dr. Strang's Intro to Linear Algebra in class and I am so glad these videos are available online. I found vector spaces to be a tricky topic in class, via my notes, even in the book. This lecture was executed beautifully. Makes so much more sense now. I am definitely the type of learner who really needs to have a deep understanding for the concepts to stick. Thanks so much!

[TheSorgen]

46:19  Professor Strange lets his anger out on the class

[akhil089]

thanks professor strang

[supertren]

Thank you, thank you a lot. I live in Spain and now I can studied Algebra thank to this videos.

[flowewritharoma]

a great thanx for awesome lesson!

[ihteshamm]

BRavo...... excellent... live long

[pedroissler]

where are the exercise lists?

[pedroissler]

even if one had attended his classes he'd still come in contact with an audience or lack of one, it's a meaningless debate between people who don't have anything better to do..

[tnyoune]

even his handwriting is beautiful...

[tuananh605b]

free lectures. I love M.I.T, love america. Does any country do like that?

[blackrobe2007]

I've been using the terms "Closed under..." in two of my midterms now without caring of what it meant exactly graphically...its only now that I understand it. Thanks

[pingtingli]

he is awesome!!



[SpoiledLogic]

very good explanation of vector spaces wow!

[franksallyjoe]

Thank you so much! This is so much more helpful than in my classes! They only go through what people have read in the book, my prof is not thorough at all. He is brilliantly smart, but not helpful at all. This is so great, will continue to watch :)

[yoyaya007]

thank you MIT you are the best !

[MILMAG1]

Many thanks to Gilbert Strang for his lectures and his book, which I just recently got a hold of. Also, praise to MIT for making these videos publicly available.

Together we can defeat mediocrity.

[62Chicago]

Looks to me like Dr. Strang's true audience is online; 0 students in the classroom, 55,251 students online and increasing. Thank you, Dr. Strang, your lectures may well serve generations of linear algebra students!

[tekerirem]

it is much better without these stupid noisy students:P

[8cccpeevostokzempf]

Any line through zero-zero includes the X & Y axes--that happens when an R3 plane passes on a slope through one of the axes?

[ez910503]

Professor Strang lays out the concept of vector spaces in almost tedious detail. The result: I finally confidently understand vector spaces at a very basic conceptual level and I'm already beginning to extrapolate for myself. I imagine that this firm foundation will make the next few lectures that much easier and that much more rewarding. Thank you Professor Strang and thank you MIT.

[leegoldberg]

Pure Brilliance!

[Santakingkong]

well dont all speak at once lol.

[Reggae4Triceratops]

thanks,

from Canada!

[ych22]

Thank you MIT! I bought a copy of Dr. Strang's "Linear Algebra and its applications" to show my support.

OCW is a real blessing!

[DrChuCheng]

amazing lecturer.



[ddelfao]

This board is awesome, and so is the teacher.

[samfisher874]

Thank you MIT. This was very helpful.

[ra4952]

Gosh...I can't control my tears....I NOW UNDERSTAND VECTOR SPACES ;) Thanks Prof. Strang...Thanks MIT

[harashin0000]

thanks

[harashin0000]

thanks a lot !  great lecture!

[harashin0000]

thanks a lot !

[Theamirmas]

Thanks MIT and professor ....

[Nike6bt4bt]

I have to say i wish i could turn off the subtitles....i find myself reading them more oftne than watching the video!

[PB360]

@Nike6bt4bt

you can turn off subtitles dude just click on CC when its red and it ill turn grey ...and their off

[Nike6bt4bt]

@PB360 Thank You!!

[alquiora]

Omg.... what a poor guy the lecture is EMPTY!

[LennyLeonard85]

@alquiora i assume he just did this one again for the recording! maybe the regular recording got somehow screwed up!

[tadartallum]

thanks a lot for the series of videos. i hope MIT will continue to help people understand the mathematical knowledge.

[iyalovecky]

Again very high quality of recording! Thanks. And surely great lection.

[PhucNguyen0112]

who was mean enough to click "dislike"?

[0nti]

Great stuff, it's really appreciated.!

Keep 'em coming !

[shibby5113]

dont all speak at once.

this guys is good

[notinlist]

I missed the formal definition of vector spaces. Too many references to it without writing them down. They were mentioned shortly, but...

[Hroros]

Love him. But always the same pants(nothing wrong with them). And the desk?, so ugly

[Manolis090]

He made a question " What is R^TT?" and then "ok, don't speak all at once". I admire his humour. Pitty his students don't realise that. :(

I would proudly love to be your loyal student. Greetings from Greece great professor.

[SoyUnCholoYqUE]

WE R THE STUDENTS !!!!!!!!

[jimmylovesyouall]

No students...??

[ga661583]

Is there any student in the classroom?

[prusho90]

45:29 if we gonna do it in R^10 and we make a combination of 5 vectors in R^10 and WHAT WILL WE HAVE?? ahh... GOD KNOWS...LOL

[x2ROD2x]

at 19:15 "well, don't all speak at once!" hahahaha

[izadk]

Excellent Prof. I get the none english speaking chinese and indian professors in public shcool; Here is another reason why some things in life cost more!

[deathbystarship]

haha, at the end it looks like there aren't any students in the room when it zooms out

thank you, these videos are helping me a lot.

[Bilalz1987]

Prof. Gilbert thanks a lot for sharing your knowledge I finally found the real ans of vector space and subspace differecne after watching this video

[diegoramos27]

@Bilalz1987

Yes thanks a lot Prof. Strang, I had the same problem than you , the more I tried to know the difference the more I got confused, but this video really made me undestand, thanks so much !

[TopperHarl]

I do not want to be against everybody in here, but I am really missing proofs in his lectures.

I know that that Linear Algebra is really different from college to college, but I would think that at MIT there would at least have been some proofs included in the lectures (they migth have been in the readon material)

[frkngrpnr]

do you want them (the videos) to be not 50 but 95 minutes?

[esolofinzione]

I completely agree with you. The intuitive approach has its positive aspects because it teaches the student, maybe not yet familiar with the subject, to think and sense where to go, but the lack of proofs can be bothering. That's why there's an intensive supplement course called 18.08CI

[choryen]

i can actually understand this!woohoo!

[positrongamma]

Gilbert strang is the best linear algebra teacher.

cheers

[MrSomeonenotspecial]

forgot one word in that frase: ever!

[dramon231]

so sweet... i wish my linear algebra prof was actually interested in teaching math

[cesfigas]

thanx alot for this great lectures, i´m from Portugal and I´m amazed with this oportunity that M.I.T. gave to every one around the world M.I.T.believes in a better world where everyone can get free high quality education. With this actitude of M.I.T., i´m starting to baleave myself that a better world is possible.

[crazymofo741]

@cesfigas Bro, its nice that you believe in education but you should at least know how to spell. Its embarrassing when you say something so inspirational but yet you can't spell. "baleave"??

[cesfigas]

@crazymofo741

Sorry for my bad English, it is not my mother language, but I "believe" I can improve. I write in Portuguese and French very well thanks.

Any way thanks again for notating, next time I will put it first in the word corrector.

[Mr17739]

@cesfigas

Ei, sou brasileiro . Vc na certa é português. O que acha de traduzir alguns?

[RiemannCalculator]

Why does it matter if there is an audience or not? Of course there's one! It's called good cameras and editing. Just forget the audience and pay attention to the lecture. God...

[Tolispasp]

In my opinion you should all stop commenting about the audience of the lecture and thank MIT and professor Strang for uploading this excellent course.......By the way this whole emptiness thing happened only in this lecture All the others had a very good audience....

[aaronarmstrongskomra]

My observation is not a comment about the quality of instruction. I really enjoyed these lectures, and I really appreciate Strang's instruction. I thought it was interesting that there was no one there, I wasn't implying anything.

[Tolispasp]

Excellent Lecture !!!!!!!

[gman21xx]

There are not n! distinct ways to reorder the matrix. Only n!/2 I believe. Because swapping rows 1 and 3 is the same thing as swapping rows 3 and 1. Consider a 3 x 3 matrix does not have 6 different row swaps. i can swap 1,2 1,3, or 2,3 that's all.

[lande24]

you can also swap 1,2 and then 3 with one of them.

[gman21xx]

oh ok, that's right, there are not 6 different row swaps but there are 6 different ways to "reorder the matrix." thanks. lande

[lande24]

sure :)

[Mathematics215]

Between 40:30 and 40:45 you can really see how empty the audience is.

[aaronarmstrongskomra]

There's no one in the audience.

[aaronarmstrongskomra]

I'm not sure what you're talking about. If you look at any of the other lectures in this series you can see people in seats while he is talking. & at the end of some of the lectures you can see students getting up from their seats. That doesn't happen in this video. Also, in this video, he makes some comment like "Don't all speak at once" which seems to be a reference to the fact that there is no one there. What does the fact that you can't see them have to do with how good they are as students?

[sparkloweb]

Ha, I think you are right. He also says, "well, the tape won't take a breath but the lecturer wil...." Maybe they had technical problems in the original and he had to redo the whole thing to complete the series.

[truongvoky012345]

How a great lecture!

I wish I learn at MIT.

Gilbert Strang is my idol

[tehinfidel]

Great picture quality; thanks for updating this lecture.

[nilamkayastha]

Great lecture