@s0cialnetwork Think of it this way. When it comes to uni's like MIT you get people who have close to zilch knowledge on this stuff.. But their intelligence makes up for it. And second. It goes from easy enough to hard thinking very fast. And finally, explanations are more conceptual as opposed to being more about methods. That requires a significantly more advanced thinking eventually.
21:25 What? Four 3-dimensional spaces all living in a 4 dimensional space, with each pair intersecting in a plane, and each pair of planes intersecting in a line, with those lines all intersecting at the point that is the solution to your set of equations? Why would anyone have difficulty visualizing that? I think he just forgot his 4d chalk today. ;-)
I'm studying electrical engineering in the Technical University of Munich and
i want to spend one semester in the MIT. The problem is that i don't know any exchange programms offered in my university with the MIT. An other thing, i ve been told that i need to find a Student form MIT who wants to spend one Semester in my university too, so that i can make an excahnge.
Can you help me or do u have some useful links for exchange programms of the MIT.
@b0ondockz Basic linear algebra is supposed to be easier than calculus, but it depends on individual factors. Calculus depends on the idea of function and limit, linear algebra is all arithmetic and maybe a little geometry, so conceptually LA is more basic than Calc 1.
I hate how he skips the "big definitions". I've been watching some vids from popular US schools and every teacher is different, sucks! Must be like a lottery if you get a good teacher or not, which matters a lot. Very few of the teachers I've seen are any good, they mostly just stand there and do what pleases them, not the students.
my mind blown up again. yeah, i've understood the first lecture but i cant imagine more than 3 dimensions. something in a 9 dimensional space... i wonder is there any 4 or upper dimensional space or we just wasting our time for a non-existing imaginary space! actually i dont want to call it imaginary because i cant imagine it. there is no more close word to tell this crab than the word imaginary. please someone explain this to me.
@paintlaca There are several theories in physics that theorize that there are more than 3 dimensions, there are theories with 10 spacetime dimensions and with 26 spacetime dimensions
@paintlaca -Don't feel alone. No one can visualize greater than 3 physical dimensions. It's a limit to the capability of the human mind. We are finite, fallible beings. I wonder the same thing about multiple dimensions. Maybe that's were the quantum particle go between known states.
@paintlaca Whether there are "really" more than 3 dimensions in some physical "space" isn't really important. In application we are interested in non-physical spaces with many dimensions. For instance, how many units of each of several thousand items of inventory a store should order for optimal allocation of warehouse space. That's a problem that can be expressed a a vector problem in a space with thousands of dimensions. Nobody could picture it geometrically but it's very real.
He has the gift of teaching! .. so easy to follow his line of thought. This is so different compared to my old algebrateacher,... geez the chalks should file a restraining order to hold him off the boards ... Clone this MIT teacher!
@epicnation360DreamZZ Slope Intercept form is y=mx+b, b is the constant. So b=75. Because regardless of the number of hours the technician works, he always charged $75. M=35, and x=hours. y=35x+75 This is the slope intercept form. So for example if the technician works 3 hours, then it would be y=35(3)+75, which is y=180, so for 3 hours of work the technician will charge you $180.
I've watched all these now. To begin with he looked like a turtle without it's shell, but now he looks like Fred Astaire. I'ts amazing what a bit of talent can do for a man. These videos have been invaluable as I struggled through my OU maths correspondence course isolated from any other students here on the Isle of Skye. I don't know what I would have done with out them.
hey, do any of you guys know the requirements for MIT? As of now, I am in seventh grade & in algebra 1 Honors (skiped 7 grade math) I am also teaching myself Geometry, Algebra 2, Trigonometry, PreCalculus, Calculus 1, Physics 1&2, and chemistry 1.
just a question : say i take these courses in college / university and go on to be an engineer, will i ever be using this in real life ? like actually be doing real linear algebra or calculus ? im 16 right now in grade 11
@YEUHNBD yes and no. you would maybe use 1/10 of what you learn in school ;) but it's quit important to know the origin of what your doing and it will give you more '' out of the box'' thinking.
@YEUHNBD I am a Electrical Engineer about to work for NASA. While these math classes do not necessarily get directly used in real-world work, they are incredibly important for understanding the material you will learn in universities.
Especially if you are going for a Science/Engineering major (you should--they are the most marketable things out there right now by far).
Personally, I'm working on some statistical digital signal processing right now and need a refresher. I don't regret it.
@munkeegutz wow thats great good for you ! is this linear algebra harder then calculus ? and are those the 2 hardest maths that there are ? im hoping to go into something that involves chem, math and physics
@YEUHNBD Well linear algebra and calculus are just "different". If you have the capacity to do one, you'll be fine at the other. Differential equations is the hardest math I've studied, but some of my friends say that "complex analysis" is one of the hardest math topics out there. It's a huge field which you are just scratching the surface.
@YEUHNBD As someone who did two measly first year physics classes at uni, in physics your math you will use the most is differential equations. Physics deals with the explanation of different scientific phenomena, most of which deal with rates of change (motion, electricity, etc.) If your differential equations are solid, you'll have a better start than most :)
@MrFraktur3 Edit. Btw, doing engineering atm, linear algebra is EXTREMELY important. It is the foundation of computer programs that analyse structures, and whilst being able to perform linear algebra is important, but not exceptional (computers can do them instead once you finish uni), understanding them is very important.
@YEUHNBD Linear algebra is not harder than calculus. You get to harder maths when you start going into chaotic systems (non linear differential equations and stuff). It all depends on what you find hard or easy. when i started my BA in engineering i found linear algebra easier tho. When you doing advanced fluid dynamics and stuff i found it hard.
@svedishbiker I took linear differential equations in spring of last year, and I'm taking linear algrebra now. I actually think linear algrebra is a little bit more difficult for me because of the sheer amount of language and procedures there are to memorize.
@MrLlud I hope you have found the exercises for linear equations. Now watch this. "Speed maths- Multiplying without multiplying". Click on my username and check the vid. Cheers.
I got a 4 (out of 3-5) in Linear Algebra on Chalmers University here in Gothenburg and still I had not understood linear combination as good as with this guy... :P
I stumbled upon this lecture and watched the whole lecture. I struggled with this stuff at school but this man made it simple and grasped my attention with his amiable manner and knowledge. Thank you for inspiring me to go back and finish my A level math!
It's so cool. I finished one of the technical universities in Europe, and I listened to some good lecturers, but this one is far more better than any of my previous professors.
i love this dude >< he's going straight for the lecturing and i understand him very well :O sweet Job prof ^^ ima stick to your lectures :D find some usefull things i can use in my study :D
algebra). To have a teacher like this can even make an 14 years old, like me, understand almost everything though my native language is Swedish. That means I first have to translate everything (in my mind) to Swedish and at the same time I have to do the mathematics. Pretty impressive. :)
Clear and concise explanation. Professor you enlightened me in less than 40 min. I wish I had a math professor like you in college. Thump up to this amazing video :)
I know about soultion of equation systems by the two methods: 1-Row Picture and 2-Coulmn Picture ; the soultion ( if there is one) will be always point of interesection of ( Lines for 2 Dimensional; Planes for more than 2 dimentions) but it point always always
This is great stuff. My professor uses the word vector a lot but he never gave us a picture of what a vector is in the context of Linear Algebra. Seems they are excactly the same as the vectors in physics which cleared my mind up quite a lot :)
@samrudi this can be taught in highschool classes. my freshman course in highschool just touched base with the matrix aspects, but the row vs. column pictures are just slightly ahead of what I learned. I dont see why this cant be a unit in highschool courses, its pretty simple to follow along.
@benben829 This is only the first lesson. That's why it seems "introductory". You can save your comment of "didn't meet the high standard" till the final exam.
MIT not meeting your high standards? Disappointed in MIT? What do you expect? Math classes are basically the same no matter where you go. This professor is amazing to be able to teach linear algebra in such a simple and straightforward approach. I absolutely hate it when professors don't break it down for students. If anything, it's an ego trip. So with that said, I applaud Prof. Strang for his both brilliance and humility.
@Repented I go to UBC and I can tell you I was also surprised when I found that MIT courses are no different from UBC courses at the 1st and 2nd year level. Now, I realize this is to be expected from any top universities. The true value of these lectures I think is that they're online for people who don't have any access to higher education!
I'm surprised at this lecture. Not that this is a bad lecture in any way; this teacher is brilliant. But rather the level of MIT's courses didn't really meet the high standards it holds.
Still i thought that MIT lessons would be 1000 times harder than that. This is really easy. Maybe it's because it's just the introduction lecture, still i find that pretty disappointing for a school that renowned.
Thanks, MIT. I can't audit courses at my university without paying full tuition! I just want to learn the stuff, not go bankrupt. Thanks to you I can do the former without doing the latter.
@CleitonXPS to say things like that.... every topic of maths is easy.. no wait every topic of every subject is easy..
but to think of it it... only when we understand them so well and get the concepts well embedded we start finding them easy.. and thats what MIT ocw is doing.
@cliumay9 In the case where the 9th column is equal to the 8th column, you will be limited to 8 dimensions inside of the total 9. Your final 9th column adds no new information. In linear algebra terms, your matrix will fail to span the vector space. In other words, you cannot create the final 9th dimension from just combinations of the 8. Think of it as trying to create z-space when you only have x and y. It's not possible with ONLY x and y.
This is not the best way to explain the vector. We in Banja Luka we work more generally. Vector is not only directed along, they can also be a polynomial, matrix, function ... We first do algebraic structures (groups, fields, bodies), numbers (real, complex), combinatorics, polynomials, and then vector spaces, matrices, systems of equations and eventually own their own valuesand vectors of the matrix ... Our course is much better than this. Come to Banja Luka and teach all: D
This is not the best way to explain the vector. We in Banja Luka we work more generally. Vector is not only directed along, they can also be a polynomial, matrix, function ... We first do algebraic structures (groups, fields, bodies), numbers (real, complex), combinatorics, polynomials, and then vector spaces, matrices, systems of equations and eventually own their own valuesand vectors of the matrix ... Our course is much better than this. Come to Banja Luka and teach all: D
@Santakingkong no, they are planes in 3d. Trust me, try graphing them. standard form for a plane is n_x(x-a)+n_y(y-b)+n_z(z-c)=0. They appear to be lines in 2 dimensions.
ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/
miketh6 4 days ago
how much do i have to pay to have him as a teacher?
gogogino 1 week ago
@gogogino 40,000 per year, roughly
cammarata123 1 week ago
@cammarata123 i wll stay with my own that they are free hahaha
gogogino 6 days ago
what this?
titaniummenswatch 1 week ago
Just the video I needed... 2 semester later...
dlpmario 1 week ago
I am very happy to see the vidoe The Geometry of Linear Equations.after you give this
NganaJHone 2 weeks ago
Steady I Really Like This Video The Geometry of Linear Equations
Ondelendo 2 weeks ago
Good, I like that you share this video The Geometry of Linear Equations, I wish success always
bebeheuy 2 weeks ago
Nice Video The Geometry of Linear Equations That You Share , So Very Nice Thanks You
willamricard 2 weeks ago
I Really Like The Video The Geometry of Linear Equations From Your
imegatrone 2 weeks ago
Your Video Is Very Useful Sharing The Geometry of Linear Equations.
bundawartini 2 weeks ago
after i watched this video The Geometry of Linear Equations, my insight is very open because the video is very good to give information
anakmudajaman 2 weeks ago 2
"why not take the right combination, what the hell." LOL
jasonofthel33t 2 weeks ago
Thank you MIT! One of the most useful channels on YouTube!
shadowC10ne 3 weeks ago
you gotta be kiddin me!!!!! i am 8th grade in bulgaria and we are learning this
s0cialnetwork 3 weeks ago
@s0cialnetwork indeed
lalolanda77 3 weeks ago
@s0cialnetwork Think of it this way. When it comes to uni's like MIT you get people who have close to zilch knowledge on this stuff.. But their intelligence makes up for it. And second. It goes from easy enough to hard thinking very fast. And finally, explanations are more conceptual as opposed to being more about methods. That requires a significantly more advanced thinking eventually.
kiriappeee 3 weeks ago in playlist MIT Linear Algebra
that teacher is just plain and pure awesomemess
ChrisRhenfeldt 3 weeks ago
I love how he so casually says... Let's take a shot at imagining 9 dimensions.
kiriappeee 3 weeks ago
Ini dia Yang Gw cari, Good Video!!
Flusercom 1 month ago
Top Video!!
ngeliatduit 1 month ago
Good Video. I like Thus. Thanks MIT For Infomations.
Spasatcom 1 month ago
Amazing , he has deeper understanding of the whole thing
ethiopiawenege 1 month ago
21:25 What? Four 3-dimensional spaces all living in a 4 dimensional space, with each pair intersecting in a plane, and each pair of planes intersecting in a line, with those lines all intersecting at the point that is the solution to your set of equations? Why would anyone have difficulty visualizing that? I think he just forgot his 4d chalk today. ;-)
sbergman27 1 month ago
Amazing lecturer. And I love his big and clear handwriting!
SpoiledLogic 1 month ago
i found the problem thanks
zakzak257 1 month ago
where sound????
zakzak257 1 month ago
@zakzak257 Sorry, the audio channels are not balanced. The right channel is louder. Adjust your audio settings accordingly.
MIT 1 month ago
i learned math from this but then i took an arrow in the knee
raizen991ra 1 month ago
MITで学んでみたいもんだ。見入ってしまった。
taka1988108 1 month ago
Αυτός δεν είναι τίποτα μπροστά στον Φιλιππάκη!
nofear7777777 1 month ago 2
-I want to file a complaint against professor Gilbert Strang for sexual harassment.
-Why?What did he do to you?
-Nothing yet, but he keeps winking at me all the time!
VrmTrela 1 month ago 6
@VrmTrela Its too funny
Dania482 1 month ago
ey bin reich aber einsam
MyrleDaciaok564 1 month ago
Comment removed
yosoet77 1 month ago
This has been flagged as spam show
"xSolve Mobile" solves your equations and systems of equations right on your iDevice. Search for it on the App Store!
jarneaemanuel 1 month ago
Hi guys,
I'm studying electrical engineering in the Technical University of Munich and
i want to spend one semester in the MIT. The problem is that i don't know any exchange programms offered in my university with the MIT. An other thing, i ve been told that i need to find a Student form MIT who wants to spend one Semester in my university too, so that i can make an excahnge.
Can you help me or do u have some useful links for exchange programms of the MIT.
Thanks a lot :)
yosoet77 1 month ago
I used to excel at the linear algebra. Then I took an arrow in the knee...
vafant 1 month ago
thank god for this era, so I can watch MIT courses from the other side of the globe. thank you MIT, thanks you YouTube,Thank you world!
ufanisoneetze 1 month ago 3
How does this compare to calculus 1 difficulty wise?
b0ondockz 1 month ago
@b0ondockz Basic linear algebra is supposed to be easier than calculus, but it depends on individual factors. Calculus depends on the idea of function and limit, linear algebra is all arithmetic and maybe a little geometry, so conceptually LA is more basic than Calc 1.
snuchia 1 month ago
can someone explain how the x and y in front of the columns were changed to 1 and 2?
b0ondockz 1 month ago
@b0ondockz
2x-y=0
-x + 2y=3
x = 1
y = 2
qerwertwertwertwer23 1 month ago
@b0ondockz Going from the problem statement to "checking" the already-known solution.
snuchia 1 month ago
The course link is down.
Flyrev 1 month ago
@Flyrev The course link had a typo and has been fixed (supposed S05 not F05).
MIT 1 month ago
I hate how he skips the "big definitions". I've been watching some vids from popular US schools and every teacher is different, sucks! Must be like a lottery if you get a good teacher or not, which matters a lot. Very few of the teachers I've seen are any good, they mostly just stand there and do what pleases them, not the students.
perejlm 2 months ago
my theory is that math teachers are so wierd because they have so much math information in their heads that they go crazy.
matiasmingo3 2 months ago
why is he so wierd
matiasmingo3 2 months ago
@matiasmingo3
cause he's a genius, just like all other MIT professors. If you go to MIT, you are def a little weird jus like everyone there
tshenvideos 1 month ago
my mind blown up again. yeah, i've understood the first lecture but i cant imagine more than 3 dimensions. something in a 9 dimensional space... i wonder is there any 4 or upper dimensional space or we just wasting our time for a non-existing imaginary space! actually i dont want to call it imaginary because i cant imagine it. there is no more close word to tell this crab than the word imaginary. please someone explain this to me.
paintlaca 2 months ago
@paintlaca There are several theories in physics that theorize that there are more than 3 dimensions, there are theories with 10 spacetime dimensions and with 26 spacetime dimensions
SelonNerias 2 months ago
@paintlaca -Don't feel alone. No one can visualize greater than 3 physical dimensions. It's a limit to the capability of the human mind. We are finite, fallible beings. I wonder the same thing about multiple dimensions. Maybe that's were the quantum particle go between known states.
chuckjls 1 month ago
@paintlaca Whether there are "really" more than 3 dimensions in some physical "space" isn't really important. In application we are interested in non-physical spaces with many dimensions. For instance, how many units of each of several thousand items of inventory a store should order for optimal allocation of warehouse space. That's a problem that can be expressed a a vector problem in a space with thousands of dimensions. Nobody could picture it geometrically but it's very real.
snuchia 1 month ago
He has the gift of teaching! .. so easy to follow his line of thought. This is so different compared to my old algebrateacher,... geez the chalks should file a restraining order to hold him off the boards ... Clone this MIT teacher!
GMamza 2 months ago
some one help me with this question
A computer technician charges $75 for a consultation plus $35 per hour write a linear equation in slope intercept form to model each situation.
epicnation360DreamZZ 2 months ago
@epicnation360DreamZZ Slope Intercept form is y=mx+b, b is the constant. So b=75. Because regardless of the number of hours the technician works, he always charged $75. M=35, and x=hours. y=35x+75 This is the slope intercept form. So for example if the technician works 3 hours, then it would be y=35(3)+75, which is y=180, so for 3 hours of work the technician will charge you $180.
SalivatingGland 2 months ago
@epicnation360DreamZZ C(h)=35h+75
jvandervalk 2 months ago in playlist MIT 18.06 Linear Algebra, Spring 2005
nice lecture
mastermindashil 2 months ago
Do you guys know if this lecture is on the first day of class?
So it assumes that you have no prior experience with matrices?
asdfghjkl36958 2 months ago
very good teacher, explains step by step, here in Brazil we thought it was harder classes.
Vidaloka100 2 months ago
I've watched all these now. To begin with he looked like a turtle without it's shell, but now he looks like Fred Astaire. I'ts amazing what a bit of talent can do for a man. These videos have been invaluable as I struggled through my OU maths correspondence course isolated from any other students here on the Isle of Skye. I don't know what I would have done with out them.
Thank you.
SarahStarmer 2 months ago
GUYS DEFFO PISSED. dont do math but i fucking glad i dont after watching this even though i could change i found it kinda intresting.
FINNY1995 2 months ago
This is just too perfect... MIT teachers are fucking godlike.
Vilifies 2 months ago 30
Comment removed
freedfighter96 2 months ago
why can't you just solve for y? i mean, set up a linear equation in the form y=ax+b
AL3Xmotodude 2 months ago
@AL3Xmotodude solving for 1 variable at a time becomes cumbersome when you have 50 equations and 50 unknowns or 50,000 equations and 50,000 unknowns.
Arachnivore 2 months ago
when i can't go to bed at night i listen to these lectures until i pass out, just like in my real classes :D
TheSantiago417 2 months ago
Gah.. I'm glad I have my teacher and not this guy.
tucense 2 months ago
Good teachers are by far more rare than gold
atheistfromaustria 2 months ago 35
@atheistfromaustria 100% true
tito1894 3 weeks ago
lol! omg! This is awesome!
8644371 2 months ago
i checked my speaker to see whether its broken.
CopyOo 2 months ago
Thank you for making this available free of charge!
strelkaforge 2 months ago in playlist MIT 18.06 Linear Algebra, Spring 2005
hey, do any of you guys know the requirements for MIT? As of now, I am in seventh grade & in algebra 1 Honors (skiped 7 grade math) I am also teaching myself Geometry, Algebra 2, Trigonometry, PreCalculus, Calculus 1, Physics 1&2, and chemistry 1.
usernamebaseball 2 months ago
This has been flagged as spam show
iphone and ipad app for calculating matrices:
itunes.apple.com/us/app/matrix-multiplication/id477093471?mt=8
bebefore3 2 months ago
just a question : say i take these courses in college / university and go on to be an engineer, will i ever be using this in real life ? like actually be doing real linear algebra or calculus ? im 16 right now in grade 11
thx
YEUHNBD 2 months ago
@YEUHNBD You'll use functions that describe real life situations.
NickHolstead 2 months ago
@YEUHNBD yes and no. you would maybe use 1/10 of what you learn in school ;) but it's quit important to know the origin of what your doing and it will give you more '' out of the box'' thinking.
gusti3k 2 months ago
@gusti3k yeah that makes sense thx : )
YEUHNBD 2 months ago
@YEUHNBD I am a Electrical Engineer about to work for NASA. While these math classes do not necessarily get directly used in real-world work, they are incredibly important for understanding the material you will learn in universities.
Especially if you are going for a Science/Engineering major (you should--they are the most marketable things out there right now by far).
Personally, I'm working on some statistical digital signal processing right now and need a refresher. I don't regret it.
munkeegutz 2 months ago
@munkeegutz wow thats great good for you ! is this linear algebra harder then calculus ? and are those the 2 hardest maths that there are ? im hoping to go into something that involves chem, math and physics
YEUHNBD 2 months ago
@YEUHNBD Well linear algebra and calculus are just "different". If you have the capacity to do one, you'll be fine at the other. Differential equations is the hardest math I've studied, but some of my friends say that "complex analysis" is one of the hardest math topics out there. It's a huge field which you are just scratching the surface.
Study hard! :-)
munkeegutz 2 months ago
@YEUHNBD As someone who did two measly first year physics classes at uni, in physics your math you will use the most is differential equations. Physics deals with the explanation of different scientific phenomena, most of which deal with rates of change (motion, electricity, etc.) If your differential equations are solid, you'll have a better start than most :)
MrFraktur3 2 months ago
@MrFraktur3 Edit. Btw, doing engineering atm, linear algebra is EXTREMELY important. It is the foundation of computer programs that analyse structures, and whilst being able to perform linear algebra is important, but not exceptional (computers can do them instead once you finish uni), understanding them is very important.
MrFraktur3 2 months ago
@YEUHNBD Linear algebra is not harder than calculus. You get to harder maths when you start going into chaotic systems (non linear differential equations and stuff). It all depends on what you find hard or easy. when i started my BA in engineering i found linear algebra easier tho. When you doing advanced fluid dynamics and stuff i found it hard.
svedishbiker 2 months ago
@svedishbiker I took linear differential equations in spring of last year, and I'm taking linear algrebra now. I actually think linear algrebra is a little bit more difficult for me because of the sheer amount of language and procedures there are to memorize.
tucense 2 months ago
@munkeegutz poor NASA....
MrGroberUnfug 2 months ago
this makes perfect since but i have lost every thing of my memory since collage.
bevmsg 2 months ago
whoa, gilbert strang is one of the authors for my ap chem book!
threeeyedninja 2 months ago
Огромное спасибо!
qu6a6rk 2 months ago
I feel stupid watching this cause it's so easy...
TRONhack3r 2 months ago
@TRONhack3r row echelon?
SuperImmunologist 2 months ago in playlist linear algebra
with his help ,i feel it's so easy to grasp it .
weirdln 3 months ago
damn I'm stupid :(
darkilustrisimus 3 months ago
What the hell I took this course in 7th grade
Gingerboysucks 3 months ago
This has been flagged as spam show
Thanks Professor Strang and MIT, I passed my LInear Algebra Course(A). Thanks for giving me the basis :)
jackietheblade777 3 months ago
Comment removed
jackietheblade777 3 months ago
perfect
ig6910 3 months ago
This has been flagged as spam show
dude what
GirlCraft 3 months ago
Comment removed
GirlCraft 3 months ago
I can not hear the voice, is there anything wrong with the video?
tankstocks 3 months ago
@tankstocks It's actually only on the right channel (in stereo)...
captainf0x 3 months ago
The Boston Strang-ler.
technoviking 3 months ago 2
Hello there. Anyone could tell me where I can find some exercises for linear equations (with results).
Cheers
MrLlud 3 months ago
@MrLlud I hope you have found the exercises for linear equations. Now watch this. "Speed maths- Multiplying without multiplying". Click on my username and check the vid. Cheers.
awaqar 3 months ago
he make it look soooooooooooo easy
woolfgangmozrt20 3 months ago
wow, why wasn't this guy my linear algebra prof in first year....
suntim 3 months ago
This guys is second to King Khan for the best for teaching linear algebra.
CiaoBello21 3 months ago
I got a 4 (out of 3-5) in Linear Algebra on Chalmers University here in Gothenburg and still I had not understood linear combination as good as with this guy... :P
Murpien 3 months ago
I stumbled upon this lecture and watched the whole lecture. I struggled with this stuff at school but this man made it simple and grasped my attention with his amiable manner and knowledge. Thank you for inspiring me to go back and finish my A level math!
STEVONYMO 3 months ago
Thanks from Brazil professor Strang !
aftasademedoem 3 months ago
It's so cool. I finished one of the technical universities in Europe, and I listened to some good lecturers, but this one is far more better than any of my previous professors.
Zieltarzyna 3 months ago
why have one of my speakers broke
DisturbedV7 3 months ago 2
i love this dude >< he's going straight for the lecturing and i understand him very well :O sweet Job prof ^^ ima stick to your lectures :D find some usefull things i can use in my study :D
partoboy 3 months ago
thanks professor strang
akhil089 3 months ago in playlist b.linear algebra
he is a good professor...i can understand quickly
marice80 3 months ago
Why is it that I will not do my Algebra 2 homework but yet sit down and take notes from this brilliant video?
xxMafia101 3 months ago
Muito bom! Gostei da aula. ^^
seijurouhiko 3 months ago
The subtitles are not timed with the speach. It's a pitty.
SvobodovaEva 3 months ago 2
simple and clear IS what we need to learn math!!! thx Professor!
zzak472008 3 months ago
He is telling a story, a story about something called linear algebra
WestWindBlowing 3 months ago 14
My right ear enjoyed this lecture.
mrairplaneman777 3 months ago 45
in Istanbul many of my friends watch this videos. thank you Mr. Strang, you are an amazing professor.
ozenhkn 3 months ago
@ozenhkn Even other cities of Turkey :P
okandeb1 3 months ago
thank you so much that really helped me allot :) love the professor,
rockherostar333 3 months ago
An eight dimensional shape in R9! Holy fuck my brain is having a meltdown!
Catalyst8D 4 months ago
This is truly amazing! I love math (especially
algebra). To have a teacher like this can even make an 14 years old, like me, understand almost everything though my native language is Swedish. That means I first have to translate everything (in my mind) to Swedish and at the same time I have to do the mathematics. Pretty impressive. :)
Yllie001 4 months ago
Why is calculus non-linear?
youngdones 4 months ago
Clear and concise explanation. Professor you enlightened me in less than 40 min. I wish I had a math professor like you in college. Thump up to this amazing video :)
HiEvanMY 4 months ago
why cant my math teacher be like u?
tpcardoso 4 months ago
@tpcardoso
Thanks to the Internet, anybody willing to upload their lectures to YouTube can be your teacher :-).
Remember you are your main teacher. Seeking is the basis of acquiring and building knowledge.
EconomicLiteracyNow 4 months ago
man... what i would give to have a math professor whose native language is english
scot460 4 months ago
إنتهيت من هذه المحاضرة كاملة
I know about soultion of equation systems by the two methods: 1-Row Picture and 2-Coulmn Picture ; the soultion ( if there is one) will be always point of interesection of ( Lines for 2 Dimensional; Planes for more than 2 dimentions) but it point always always
engmate32 4 months ago in playlist 1-Math Linear algebra (1 to know)
This is great stuff. My professor uses the word vector a lot but he never gave us a picture of what a vector is in the context of Linear Algebra. Seems they are excactly the same as the vectors in physics which cleared my mind up quite a lot :)
pithikoulis 4 months ago
its funny how the first lectures have the most amount of views then it falls by a factor of 1/r^2
d34dlyshr00mxx 4 months ago 10
I learned this in 11th grade.
Maedhrosz 4 months ago
@Maedhrosz Makes sense this is the first class so its the easy stuff.
TheEradicator13 4 months ago
Im 13, hopefully i will understand this when i get to college... if i get to college. Or is this in highschool?
samrudi 4 months ago
@samrudi
This is the Machussets Institute Technology of UNITED STATES . Let ' s wish you upon REAL ENTRANCE to it when you reach your OFFICIAL AGE .
xiuqin24 4 months ago
@samrudi this can be taught in highschool classes. my freshman course in highschool just touched base with the matrix aspects, but the row vs. column pictures are just slightly ahead of what I learned. I dont see why this cant be a unit in highschool courses, its pretty simple to follow along.
xxfinnellxx 4 months ago
i think that the lecturer missed to wright his x matrix at the first example of 3x3 matrix
correct?
mroglow 4 months ago
@mroglow well he didn't really forget it because you will see that the X matrix is not really important later on.
DozoisCH 4 months ago
Comment removed
Mich1111100 4 months ago
thanks for the lecture and for subtitiles!
Greetings from Poland
alinapol 5 months ago
I'm taking this class right now =]
jonasianbuddy 5 months ago
@benben829 This is only the first lesson. That's why it seems "introductory". You can save your comment of "didn't meet the high standard" till the final exam.
vinnypharmacist 5 months ago 3
MIT not meeting your high standards? Disappointed in MIT? What do you expect? Math classes are basically the same no matter where you go. This professor is amazing to be able to teach linear algebra in such a simple and straightforward approach. I absolutely hate it when professors don't break it down for students. If anything, it's an ego trip. So with that said, I applaud Prof. Strang for his both brilliance and humility.
Repented 5 months ago 68
@Repented I go to UBC and I can tell you I was also surprised when I found that MIT courses are no different from UBC courses at the 1st and 2nd year level. Now, I realize this is to be expected from any top universities. The true value of these lectures I think is that they're online for people who don't have any access to higher education!
loldotalol379 4 months ago
I agree. I took Linear at a State school in PA and from the looks of it I could have done just as well in this class.
But Linear was the only Math class I actually enjoyed. I loved learning to do Gaussion's algorithm by hand. It was a puzzle pure and simple.
IceThatJaw 5 months ago
I'm surprised at this lecture. Not that this is a bad lecture in any way; this teacher is brilliant. But rather the level of MIT's courses didn't really meet the high standards it holds.
benben829 5 months ago
Nice lecture and amazing teacher.
Still i thought that MIT lessons would be 1000 times harder than that. This is really easy. Maybe it's because it's just the introduction lecture, still i find that pretty disappointing for a school that renowned.
robertlemiro 5 months ago
Great teachings, thank you very much and greetings from Mexico.
gabinobarreda 5 months ago
how easy is linear algebra when you take the right professor!!
oscar4423 5 months ago 2
is he winking at his students? lol
laihan8787 6 months ago
Brilliant professor.....I love how his extremely smart but still humble
andrijja92 6 months ago 63
@andrijja92 knowledge=/=intelligence
Jackalofdeath 2 months ago
He's not only brilliant but has got a sense of humour.
hypnoticpoisons 6 months ago 2
Comment removed
hypnoticpoisons 6 months ago
do we have sound problem in this video?
MrRajesh1983 6 months ago
@MrRajesh1983 I think it does but try without headphones, it should sound normal again.
bipinformprotect 6 months ago
you have done nice job by uploading these lecture. nice lectures
highsense100 6 months ago
Thanks, MIT. I can't audit courses at my university without paying full tuition! I just want to learn the stuff, not go bankrupt. Thanks to you I can do the former without doing the latter.
Keep it up!
paytontech 6 months ago
now THIS is a good show!
no matter what
frostwow 6 months ago
But linear algebra is easy
CleitonXPS 7 months ago
@CleitonXPS to say things like that.... every topic of maths is easy.. no wait every topic of every subject is easy..
but to think of it it... only when we understand them so well and get the concepts well embedded we start finding them easy.. and thats what MIT ocw is doing.
wewtneel 6 months ago
@CleitonXPS Help me chief!
spinynorman1982 6 months ago
I'm 13 years old, and I understand Professor Strang. Wow! You are an amazing teacher!
MrLamaj123 7 months ago
I have a question. if 8th column is // to 9th column, what will happen? or is it possible that 8th column is // to 9th column?
cliumay9 7 months ago
@cliumay9 In the case where the 9th column is equal to the 8th column, you will be limited to 8 dimensions inside of the total 9. Your final 9th column adds no new information. In linear algebra terms, your matrix will fail to span the vector space. In other words, you cannot create the final 9th dimension from just combinations of the 8. Think of it as trying to create z-space when you only have x and y. It's not possible with ONLY x and y.
dtimmo001 6 months ago
this video clip makes me one step beyond Nobel Prize!!!!
cliumay9 7 months ago
This is not the best way to explain the vector. We in Banja Luka we work more generally. Vector is not only directed along, they can also be a polynomial, matrix, function ... We first do algebraic structures (groups, fields, bodies), numbers (real, complex), combinatorics, polynomials, and then vector spaces, matrices, systems of equations and eventually own their own valuesand vectors of the matrix ... Our course is much better than this. Come to Banja Luka and teach all: D
Satanailo 7 months ago
@Satanailo you are doing it that way because you Serbs are very smart.
dugojajac 5 months ago
This is not the best way to explain the vector. We in Banja Luka we work more generally. Vector is not only directed along, they can also be a polynomial, matrix, function ... We first do algebraic structures (groups, fields, bodies), numbers (real, complex), combinatorics, polynomials, and then vector spaces, matrices, systems of equations and eventually own their own valuesand vectors of the matrix ... Our course is much better than this. Come to Banja Luka and teach all: D
Satanailo 7 months ago
This comment has received too many negative votes show
What a rubbish lecturer!
In a space of half an hour, he jumps from basic senior school maths to 3D algebra!
Also, he should ask his students whether they understood or not and give them a chance to ask any questions they might have!
Going to his lectures is a waste of time! I'd rather buy a maths book and self-educate myself!
KhomeiniGod 7 months ago
thanks for loading these kind of videos
parthkillsthespin 7 months ago 2
2x-y = 0
-3y + 4z = 4
arent this lines instead of plains??
Santakingkong 8 months ago
@Santakingkong no, they are planes in 3d. Trust me, try graphing them. standard form for a plane is n_x(x-a)+n_y(y-b)+n_z(z-c)=0. They appear to be lines in 2 dimensions.
eeg10 8 months ago