Intro: A New Way to Start Linear Algebra
ฝัง
- เผยแพร่เมื่อ 4 พ.ค. 2020
- A Vision of Linear Algebra
Instructor: Gilbert Strang
View the complete course: ocw.mit.edu/2020-vision
TH-cam Playlist: • A Vision of Linear Alg...
Professor Strang describes independent vectors and the column space of a matrix as a good starting point for learning linear algebra. His outline develops the five shorthand descriptions of key chapters of linear algebra.
License: Creative Commons BY-NC-SA
More information at ocw.mit.edu/terms
More courses at ocw.mit.edu
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For links to Professors Strang’s related courses on OCW, visit the Related Resources page on the full resource site: ocw.mit.edu/2020-vision.
Cant thank you enough and thank Dr.Gilbert please know sharing this is making a difference 💜
th-cam.com/video/B4hPaWXFDb0/w-d-xo.html
As myself, i find hard to do math in high school when you don't know how deep mathematic is ... I suppose mathematical symbols should be more sensitized, even if at the high school stage the field is not studied deeply. This would prevent some from engaging in such a sector in a too naive way.
Que tal legendar o vídeos das aulas em português? Nos aqui do Brasil agradeceriamos muito.
I emailed him when I saw a small mistake in the homework in 18.06. He was so gracious and responded almost immediately. A living legend!
Could you let us know which problem set it is and which question?
@@biggledony2980 In the 18.06SC course on OCW Problem 10.1 states the following. *A is an m by n matrix of rank r. Suppose there are right sides b for which Ax = b has no solution.*
The solution to this problem then goes on to say that the column space is not all of Rn, but it should say it's not all of Rm. I never checked if it was fixed.
There's a more obvious error in the solution of problem 7.1, where the 23/4 should be negative. Again, don't know If they fixed it.
he is indeed!
What is his email? Can you tell me?
Jason, I want to learn Linear algebra from Sir Gilbert, but there is only a 6 part MIT course video playlist available. Do you know where can I access more of his Linear Algebra video Lectures? If you know then please answer me, or else please email Sir Gilbert and ask him. Regards
OMG ITS THIS GUY, he's the reason I got an A in my linear algebra class without going to a single lecture x)
Oh so its not a myth? Can you reply me the the details, i would love to learn more.
@@nahfid2003 I approve this. Even though I passed with B. But this guy saved my life. I never attended a single lecture to get B and it was very difficult to get A at our university
@@kalukulolo1 yeah i dont understand my teachers either. I will try to attend their online lec, but i will try to complete myself as well, thanks for e reply :)
Nvm i used khan academy and did the first two courses.
Also watched 3b1b and am currently watching my own lecturer.
Will probably watch this in like 6 months for revision and stuff.
What are you saying? He did you a "favor"?
Gilbert Strang to an empty classroom: "What is R transpose transpose? *pause* Well, don't all speak at once."
he's got a clever sense of humour then. lol
I never understood why people label old people as "innocent" they're the most fucked up people in all of society. They done more shit than everyone. Hell, they're the majority of American voters and are unwilling to change. I suppose it's because they act "innocently" since they realize and understand they can't do anything else anymore. Old people are the nastiest people alive.
@@quoraexpert6295 they were just talking about a joke he made. you need to relax - we get it, you hate old people.
@@quoraexpert6295 a lot of people hate elders. You have achieved that before even becoming one.
@@quoraexpert6295 did someone take your ice cream? You sound like you are 13.
I am a high school student learning linear algebra and hope to become a physicist one day... thank you so much for your passion, dedication, and genius lecturing Professor Gilbert Strang! You've really helped me amazingly.
May you shine in higher studies.
So I am
Good for you! You will never regret becoming a physicist. I have worked in physics for almost 30 years now and I never regretted my decision to study this most fascinating subject. It is hard work even if you are good at it so please don’t be discouraged when you encounter difficulties along the way.
You need a tutor
@@angelabakloyvovtchaikovsky1609 we are taught this is highschool, so mitocw, a school teacher, an IITJEE coaching teacher AND a tutor all together is an overkill, ma'am
I attended MIT from September 1971 to May 1975, lived in A-Entry in MacGregor House, and double majored in Math and Management. Prof. Strang was my professor for Linear Algebra. I was already familiar with matrices and determinants from Intermediate Algebra and Modern Math in high school. I can tell you that Prof. Strang was a phenomenal prof. I always paid attention in his class and received an "A." My favorite topics were solving systems of linear equations, and finding eigenvectors and eigenvalues. It's great to see that Prof. Strang is still going strong!
Just finished watching his old playlist..what a time to live in
me too..
Can u link please , idk this guy but I love seeing people doing what they love for life and not just retiring. so many people work to retire not work for the love of there jobs
@@nick18303 th-cam.com/play/PLE7DDD91010BC51F8.html
@@anubhavchunchu4936 thank u thank u. i did see this playlist i just realized but didnt watch any or even register who it was lol
He is the greatest professor alive! Its not about what he teaches, rather HOW he teaches that puts him in a league of his own. I wish him good health and happiness. :)
lots of other great professors! that said, i agree that Strang is awesome.
I was literally crying when I saw this. I have watched the previous version of Prof. Strang's linear algebra and that was amazing and so refreshing that had completely changed my way of understanding math! And seeing him still working and developing in the area has encouraged me so much in my PhD study. I can't thank you more Prof. Strang, you are a living legend!
I'm hoping you stay safe and healthy, prof. Strang! I will always remember how your online classes on YT helped me get a grasp of linear algebra in my first year.
I love every course of Gilbert Strang! He taught me mathematics in a way, nobody did before. The intuitive picture he gave me helped me a lot through linAlg courses in my university and I felt joy learning linAlg stuff from there on. Thank you so much! You build a path to walk on.
Strang is a magnificent teacher, anyone who has followed any single lecture of him knows. But... Not only has he contributed and kept up to pace with the modern evolution of Linear Algebra and its applications (for instance in data science, Machine/Deep Learning). He has put so much thought and effort in developing good ways to teach Linear Algebra. To introduce, after such a distinguished career, the idea to start with A=CR is so awesome. It's a beatiful culmination of experience, thought, and dedication to teaching. What an impact. Thank you Professor Strang!
It's so great to see Prof Strang is doing well and so excited to take his classes once more!!!
I would’ve given anything to have had him as my professor for linear algebra. I had the worst teacher imaginable and that was back in the late 1970s when you couldn’t turn to dozens and dozens of online resources like students have today. So if you got stuck with a bad teacher and a bad textbook you were doomed. God bless the Internet.
No hay ningún profesor tan bueno en algebra lineal como lo es el profesor Strang; desde que leí su libro y vi los videos clásicos de esta materia quede maravillado, realmente es maravilloso poder ver sus clases
Well, I like this MIT OCW intro much more than previous ones, like "The following content is created under a creative commons liscense... your support will... dot edu."
Ha, I literally just finished taking linear algebra and reviewed for the final exam using the OCW videos. Great to see Dr. Strang still teaching!
I remember I was looking for some references several years ago and I found the pearl of Prof. Strang recorded lectures, a very excellent material. Looking at him now in this video I can say that the people who work in the field that they love the most get to live longer and even now we can see the happiness through the clever humor uses.
Thank you very much for the immense effort in making Linear Algebra interesting and easy to understand! Your great courses helped me to excel in math and get into a good grad school. I am very delighted to hear that you are writing a new book. Looking forward to reading it!
He is in his 85 , and is still teaching! Salute to your dedication level.
So millions of people cannot get a job and families are living homeless because he is greedy
@@practicing1Ooh I never thought that way that a professor passion for science and teaching can cause millions of people to loose their job..but thanks for mentioning!
@@practicing1 He is so greedy to have been offering free courses to millions who can find jobs because of listening to his courses? He is so greedy to have taken only one teaching position at MIT and have never prevented others from competing with him on that position? If that is greedy, I hope everyone in this world is greedy like him.
@@freeeagle6074 nope just pedophiles and you spinning lies
Prof. Strang, he's a genius legend. I am now finishing up my Ph.D in theoretical Physics and eversince my high school days I've been going back to his video lectures whenever I need to touch base with linear algebra. Thank you!
Love this new start. Very helpful to see everything at the beginning so it's easier to keep in mind what the applications of each step are as you progress through the course
I just finished his 2005 lectures (~22hrs), and happy to see him living and doing what he loves the most. Stay healthy and thank you for helping me with your courses!
Great to see Prof Strang in new video and very happy to see him active.. I sincerely admit that had I got the opportunity to see his videos in my student life, my life perhaps would have been different. I am delighted that I can use his ideas to communicate more effectively with my students.. My best regards to this legendary teacher.. Stay well Sir..
I watched all the videos from his previous course 3 times :) and I'm still so excited when there is a revision of it in 2020. Thank you professor
Welcome back to the real legend of algebra!! Best professor I have ever seen. Thanks from Canada😊
Your way of teaching linear algebra Is so refreshing! I love the overview! I’ll admit I got lost and annoyed in my linear algebra textbook, but you brought me back and gave me the enthusiasm (and amazing instruction) to push through and continue to learn :). Edit: and yes, I did go to the MIT website :). Thank you professor!
Gilbert is legendary!
Your linear algebra videos have been very insightful and helpful. Thank you for all of your terrific pedagogical work!!!
I binged ur entire LA lectures during the 1st Sem of my freshmen year, and now I give instructions to freshmen LA kids in class(online its Coroa-time😉). All thanks to u prof. just LOVE YOU.
Thanks to OCW too ... when the generation Z starts being productive thrs a pot of gold reserved for OCW Coursera and edx's of the world. You guys should know what a great force of good u r on this planet.
I dont know if anyone would ever bother reading this.... but thanks anyway
So good to see Professor Strang! I am very excited and looking forward to reading his new book on linear algebra.
This teacher seems very passionate, thanks for the quick introduction looking forward to it
I'm sooooo glad you made a new version of the course! the old one was really hard to see due to low resolution. Greeting to the prof. Strang!
What a wonderful gift, seeing a new set of videos with professor Strang!
Every time I see you I fall in love with linear Algebra again.... you make it so simple I just love how you explain it and how the Idea is planted in my mind after you explain it.... THANK YOU (P.S: I can't wait to read your textbook)
I love this guy. He knows how to make complex ideas seem really simple.
I agree, many things have happened in the last years, and linear algebra *has* become more beautiful, which gives me hope for the future, and we fully embrace new ways to make it happen. Maybe, someday, we'll have to face a much less beautiful concept of the universe, as some physicists are hinting at, so any pockets of beauty in mathematics are being cherished even more, in the meantime.
What are you talking about? Also the "beauty in math" argument is just that: beauty in a subject of logical descriptions. Don't make it an underlying principle of the subject. The best and most applicable (and very easy to apply) principle in my experience has been Occam's Razor, and the goal is to seek simplicity that is just enough.
one of my favorite MIT open courses! prof. strang is awesome
Thank you sooooo much Mr. Professor！You have huge fans in China and we appreciate all your contribution in making Linear Algebra less “scary” to students！👍👍So happy to see this new course and please take good care during the pandemic 🙇♀️🙏Thank you MIT OCW！You've always been doing such a great job in education👍
Prof. Strang reminds me so much of my Linear Algebra professor. He is also always finding new ways to teach Linear algebra. :) I admire his passion.
Hope you are doing well. So much joy to see you updating the course Mr. Strang.
Great to see Prof Strang again! I'm not sure MIT 18.06 Linear Algebra was available in 1977 when I was at MIT, but in any case, I didn't take it. My loss! I've since been convinced that this is something even high school students should get taught (at least some of it). Looking forward to viewing these!
Almost 10 years ago I watched his linear algebra lectures on youtube! Glad he is giving the lectures in 2020!
I want to give this man a big hug, so knowledgeable and so humble.
The way he carries himself is worthy of emulation for sure. It's interesting to imagine what our world would look like if our popular culture glorified such people as Prof. Strang rather than sociopaths, narcissist, and bullies - one can hope, I guess.
I learned plenty of things with the material of professor Strang at MIT OpenCourseWare, and now he is back... In middle of this hard times... he is a legend.
The legend Gilbert Strang! He's the reason why i even understand linear algebra rather than just memorising operations. Wishing you well sir!
Hello Professor! I am so good to see you. I have watched your lecture and I am happy to see you with new videos.
Thank you very much for your insight and knowledge sharing.
Stay safe and healthy! :D
Very nice to see your new video, Prof. Strang!
I have such a deep respect for this man and his passion and commitment to sharing knowledge and learning. I hope we get to experience the pleasure of his teaching for much longer, and that I can be .01% as good of an educator as he is someday.
I saw in the notifications about this new Linear Algebra video and I thought to myself, 'there's no one better than Gilbert Strang to teach this' and thankfully he's in the video. 🙌
Ikr. When I saw the thumbnail I went "YOOOOOOOO!"
And do not despair he wrote a book "Linear Algebra For Everyone"!
I appreciate you immensely prof. Strang you're such an eloquent figure.
I started to follow this videos like 1 month ago.
Im absolutly happy to watch this proffesor TODAY (5th may.
Its like taking an uninique class on live :p
I am putting it here so that everyone new here knows - Prof. Strang is a legend.
Best professor out there; Dr Gilbert strang
Using this series as a refresher for Numerical Analysis. New linear algebra students seriously don't know how blessed they are to have Strang's course available online for free
You are a magnificent gift, Mr Strang, thank you!
I like all lectures I saw from Mr. Strang: Wonderfull !, very informative, I wished we had those courses in my student time beginning 1980, but then I guess, they were not yet available in Euriope.
Thanks again Mr. Strang for the very good and nice lectures!
Professor Gilbert, you are a true legend. Thank you for helping an uncountable number of people around the world.
I owe all my understanding and interest in linear algebra to this great guy!! may he live a thousand years!!
Agree. Firstly learned linear algebra from watching his videos and found it's so beautiful.
I really love Prof Strang and his all MIT lectures
It has really helped a lot, wish you healthy and safe. Prof. Strang.
I love Professor Strang.
Much respect from Chile
These well structured short videos are perfect!
I'm so glad that he's still teaching and even writing a new book!
This man helped me get understand brownean motion and ben scholes option pricing! I had lineair algebra in university... and I never had a clue what it was about!!! I was the beautify of it thanks to him. Thx
I love this man! He is the BEST OF THE BEST. No words to express how he has made me like Linear Algebra. I
THANK YOU Prof.Gilbert Strang
Nice to see you again Prof. Strang! Legend is back!
Thanks Mr. Strang for sharing your knowledge of mathematics. I am very grateful.
I'm happy to see you Prof. May God bless you and keep you healthy...
Happy to see you again Prof Gilbert Strang 🤗🤗🤗
We are blessed to be taught by you Sir. If it were not you, who would teach mathematics in such a simpler way!
Wow I am so pleased to see he is still very healthy and strong. Thanks Dr. Strang! You are everyone's Linear Algebra professor.
Dr. Strang got old but still work so hard, show my respect and wish him all the best!
his passion for teaching and overhauling his courses even nowadays is absolutely amazing : D
Added the playlist and I'm very excited!
Professor Strang : Thank You Once Again !!!
I am so glad to see that you are doing well professor!!!
What a fantastic addition to the Strang series of courses.
Thank you professor, we all love you from Ethiopia. You helped us a lot and all of humanity.
What an absolute legend, we love you Gilbert!!
Professor,the way you teaches Linear Algebra is Perspicuous.
May god bless you. I ended up getting an A5 in my second year, all thanks to your videos. Stay Healthy
Signed up for a system biology class at Uni but the ways my lecturer explained Linear Algebra was just hopeless. Professor Strang's course literally saved my academic career and I am forever grateful for it.
I can't belive Doctor Strang' still teaching, I hope he still does. The world need this kind of passion to improve.
It's so lucky to have Prof. Strang and all his kindness
Thank you for your dedication and commitment, you are a great lecturer.
Hello Professor Strang, In last equation (diagonal sigma matrix), I recognized Econometrics (regression analysis and heterocedasticity), Risk Matrix (from Markowitz Finance Theory) and viscosity matrix (Fluid Mechanics).
He teaches beautifully, the best prof teaching linear algebra indeed
i love your course, Prof. Strang!
I was just planning to start Linear Algebra and this popped up, such a pleasant surprise
Thanks for your great contributions! You mean a lot to us!
Professor Strang , we like it very much ! Thanks.
Love your videos, every one! I once saw a comment describing you as a "Gentle rock star", which I think is perfect.
85 years old... Thanks for your invaluable contribution to science and knowledge sir
The 18.06 course videos are amazing.. used them exclusively for studying in college
This. Slide. Is. Awesome.
It really is a whole 101 course on linear algebra. I wish I had it in my college days.
I am grateful that I'm part and parcel of this TH-cam videos
My best online lecturer, that is the new invention in math wolrd i can easily understand it.. Thanks MIT
I feel like Gilbert is teaching Maths for several centuries now to people all over the world. :D Hats off and massive respect! :)