Gil Strang's Final 18.06 Linear Algebra Lecture
Рет қаралды 2,302,113
Күн бұрынSpeakers: Gilbert Strang, Alan Edelman, Pavel Grinfeld, Michel Goemans
Revered mathematics professor Gilbert Strang capped a 61-year career as a faculty member at MIT by delivering his final 18.06 Linear Algebra lecture before retiring at the age of 88. In addition to a brief review for the course final exam, the overflowing audience (both in person and on the live KZfaq stream) heard recollections, appreciations, and congratulations from Prof. Strang’s colleagues and former students. A rousing standing ovation concluded this historic event.
0:00 - Seating
8:56 - Class start
10:05 - Alan Edelman's speech about Gilbert Strang
12:57 - Gilbert Strang's introduction
15:42 - Solving linear equations
30:42 - Visualization of four-dimensional space
31:37 - Nonzero Solutions
32:16 - Finding Solutions
34:19 - Elimination Process
41:05 - Introduction to Equations
42:26 - Finding Solutions
44:29 - Solution 1
47:42 - Rank of the Matrix
51:39 - In appreciation of Gilbert Strang
52:08 - Congratulations on retirement
52:38 - Personal experiences with Strang
55:01 - Life lessons learned from Strang
1:01:08 - Gil Strang's impact on math education
1:01:44 - Gil Strang's teaching style
1:02:20 - Gil Strang's legacy
1:03:23 - Congratulations to Gil Strang
This video has been dubbed using an artificial voice via aloud.area120.google.com to increase accessibility. You can change the audio track language in the Settings menu.
License: Creative Commons BY-NC-SA
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@johnstrang9300 Жыл бұрын
Posted on behalf of Gil Strang: This is my chance to thank everyone for such generous messages about my last lecture at MIT. I am almost tempted to have second thoughts about retirement ....... but it is the right time. Teaching has been a wonderful life. And I am so grateful to everyone who likes linear algebra and sees its importance. So many universities ( and even high schools ) now appreciate how beautiful it is and how valuable it is. That movement will continue because it is right. I thank you for your good thoughts. I appreciate them more than I can say. Very best wishes in all your work Gil
@ldx8492 Жыл бұрын
Heartfelt 😭
@ArchimedesBC Жыл бұрын
"Tempted to have second thoughts about retirement"? Please don't retire!
@gabrielbarberini9846 Жыл бұрын
Strang, thank you so much! We owe you years of joy for such inspiring lectures and books, never to be forgotten. Best regards from Brazil
@marccox8977 Жыл бұрын
I Love Gil's enthusiasm! And appreciate his brilliant insights and tricks of the trade with Matrix decompositions e.g. SVD , LU etc. - just when you think "it's all been done" BOOM Gil nails a new one! Ps> Long live Gil, Long live Linear Algebra, Long live the Julia language! 👍😁👍
@solarion33 Жыл бұрын
there is always the prospect of doing more KZfaq video's from the comfort of your home , living the KZfaq life :-)
@vplay2619 Жыл бұрын
what a legend retired after 61 years of teaching at MIT . RESPECT 🙌👏👏
@seanli3757 Жыл бұрын
He's still as interesting as he was young
@anoopramakrishna Жыл бұрын
63
@mahdiehebrahimi3612 Жыл бұрын
@@seanli3757 😮😮😮😊😊😊
@user-si7sw7xy4n Жыл бұрын
OK
@user-si7sw7xy4n Жыл бұрын
無超過易經
@jao8286 15 күн бұрын
what am I doing here.
@internetinternet9610 6 күн бұрын
Procrastinating?
@ankitsarkar652 6 күн бұрын
Universe wants u to learn math. Welcome to physics , maths and everything that stays consistent. If u truly understand what's going on here . I promise u .U can become a baby god barely understanding anything yet not ignorant at all .
@loyisongcobo6371 4 күн бұрын
welcome home
@evansgate Күн бұрын
Here learning about linear algebra like the college dropout who hates math like me
@juliogaleano2063 10 ай бұрын
Professor Strang I had the honor of attending your lectures back in 1986 as a graduate student at MIT and it was such a wonderful and enlightening experience. You signed me a very kind dedication in your book that I will always treasure. I never forgot you and I never will. I wish you the very best
@sam-avni 8 ай бұрын
So are you retired now? What you did after your graduation?
@juliogaleano2063 8 ай бұрын
@@sam-avni I taught in Argentina my native country for many years in the area of computer science and FEM not algebra. Why?
@puneettripathi740 8 ай бұрын
@@juliogaleano2063I believe he was curious sir, the way we all are about stories that we come across in life. I personally believe you did a fantastic job by teaching people in your country I really admire that and thank u for your services ❤
@juliogaleano2063 8 ай бұрын
@@puneettripathi740 thank you very much for your kind words. Where are you from?
@puneettripathi740 8 ай бұрын
@@juliogaleano2063 I am from Bharat sir.😊🙏
@shinehitcs Жыл бұрын
GIl's lecture was probably the first time I realized the difference between MIT and other universities.
@wuzhai2009 Жыл бұрын
It is the difference between Prof. Strang and other universities.
@ivandavidrodriguezamezquit2402 Жыл бұрын
no
@aNotoriousPhD Жыл бұрын
strang is great, but i think that’s speaking a bit too broadly to categorize MIT that way
@HikarusVibrator Жыл бұрын
Were you at all “the other” universities? He’s a legend, but there are exceptional lecturers in may parts of the world.
@anthonygaertner8749 Жыл бұрын
@HikariOfficialSoutjAfricaFanclub do you mind recommending some please
@user-dg8xq3jz7z Жыл бұрын
Professor Strang's Linear Algebra Lecture is a real treasure. May Professor Strang has a wonderful retire life! Salute.
@jwshao8915 Жыл бұрын
黑手哥也学线代啊
@newhouse8867 Жыл бұрын
头像真没绷住
@user-dg8xq3jz7z 11 ай бұрын
@@jwshao8915 Do you dare to bihuabihua with me?
@xtzhao2196 11 ай бұрын
@@user-dg8xq3jz7z small puxxy cub
@danypell2517 9 ай бұрын
He was already retired. To him, it is passion. :) he's almost 90!
@katarixy 10 ай бұрын
I had to pay for college out of my own pocket, without any financial aid, I had three part time jobs and little room to sleep. I used to watch videos to go to sleep (math and Physics primarily). I remember watching the Strang's linear algebra series before I took the class myself. I went on to get a perfect in the class and I cannot help but feel so grateful to all his work and dedication. Thank you!!!
@katarixy 10 ай бұрын
@@b0benis linear algebra is a common class all math majors have to take at all schools...
@mysteriousshadow395 10 ай бұрын
No financial aid? I think most unis will give need-based aid regardless, no?
@zelousfoxtrot3390 10 ай бұрын
@@mysteriousshadow395 Not if your parents make $$$ and don't share. Can't qualify for low interest loans then either. And loans aren't truly financial aid- they are a noose. Perhaps they were trying to keep the debt down? I've had more than one friend who was utterly screwed from '18 and you're out' parents.
@Mark-nm9sm 8 ай бұрын
@@b0benis i think maybe he means he went to an other unviersity with lower fees and just watched strang's videos before attending the linear algebra class at that other university
@tysontakayushi8394 8 ай бұрын
@@b0benis in the USA maybe
@mdrayhanuddinmojumder 7 ай бұрын
87 years old man teaching with such clarity. Remarkable! Unbelievable! Madness!! Thank you, Mr Gilbert. You help me to transition from Biology undergrad to physics . I will forever be indebted to you. I rediscovered my love for mathematics from you. You sir, are a legend of a kind. I love my life now. Thank you so much.
@LinoCoriaCisneros Жыл бұрын
Being an old teacher myself, Professor Strang always was my OCW indispensable teacher and a roll model to anyone in our profesion. I met personaly Dr. Strang in a meeting in Morelia, Mexico long time ago, and i was touched for his kindness. Hope you'll have a long and happy life. I can't say enough how much I thank you
@sgravina Жыл бұрын
I thought Professor Strang's course was great when I took it in 1998. I still have his book. And I was a working physicist then that already knew linear algebra and used it. He brought out the coolness of matrix algebra. Which I still have. Professor Strang is my mother's age. She passed 20 years ago and I retired 4 years ago. It's fun to see someone who likes what they do enough to work at it forever.
@harshpatel4431 Жыл бұрын
It's his ikigai
@quentin2578 Жыл бұрын
You must have done well if you retired 21 years after your college period, even if you were already working; good for you!
@sgravina Жыл бұрын
@@quentin2578 I was 40 years old when I took the course. I was working at an MIT laboratory and the course was free for me. I heard it was a good course and the timing was convenient. Honestly, I didn't need any of it and it didn't change anything about how I used linear algebra but it was still cool to hear Strang's presentation. So I sat through the whole semester.
@quentin2578 Жыл бұрын
@@sgravina Thanks for your genuine reply. Even though you were acquainted with the theory, it must have been a great and/or memorable experience to be in that environment during the personal computer/e-mail/internet technology revolution, right? Especially when surrounded with lecturers that have great analogies to better teach one math and physics. I may have a distorted view. I am an eighteen-year-old student from the Netherlands and could not dream of a better time to be in college then during those days. No social media, a lot of face-to-face communication or simply telephone calls, studying entirely via books and libraries; man, I wish I was there.
@ReveredDead Ай бұрын
61 freaking years?! Holy crap....he's been teaching longer than my own dad has been alive.
@ShifutheNomad Жыл бұрын
He taught my friend, his daughter, and her son. Three generations had the pleasure of being taught by this brilliant man. ❤
@jihadalsweed Жыл бұрын
I teared up watching him say thank you at the end. we all wish we could accomplish something in life that is appreciated for years, and gilbert strang did more than that, and inspired thousands of people to purse math, study the subject, and teach others.
@fredirecko Жыл бұрын
millions
@abhisheksoni9774 9 ай бұрын
Well said 👏
@unclefreddy2009 Жыл бұрын
I’m so grateful to live in a time when I can be exposed to this level of understanding and teaching. I struggled through linear algebra in college and here I am 30 years later watching this- learning from someone who I only wish I could have had as a professor. Thank you professor, the world is a better place with you in it
@gongfei Жыл бұрын
I failed my linear algebra course. Then, learned it again from professor Strang's lecture here on youtube.
@kenfrank2730 9 ай бұрын
I wish I had this video back when I took linear algebra. The teacher I had was so bad he couldn't teach a dog to roll over.
@thispersonwriting1889 7 ай бұрын
Without Gilbert Strang’s lectures, I wouldn’t have been able to graduate. From the bottom of my heart, thank you.
@TheVeritas2100 4 ай бұрын
DITTO likely hundreds like you ... as an engineering student in 1960's I have 'blitzed' the Linear Algebra course ( many have not ... LOL! ) - but when I discoverd Gilbert Strang at MIT on line ( likely in the late 90's I think) - and I decided to 'amuse' myseslf, even though I have left engineering and math world in the mid-1970's, and to my great AMAZEMENT I found out that, as an undegrad, I actually I never fully undestood the Linear Algebra ! WHAT AN AMAZING LECTURER ! Sadly, the universities now focus on 'diversity', 'euality' and other dumb NON-SENSE, and the STEM America's much behind the world , by a light year !
@thispersonwriting1889 4 ай бұрын
@@TheVeritas2100 Your comment made me realize that Prof. Strang’s use of the internet as an archive of his teaching lasted decades. Truly a farsighted man, ahead of his time. (As for your last paragraph, let’s try to keep things lighthearted and congratulatory, we’re here to celebrate Professor Strang, not to criticize other academics).
@TheVeritas2100 4 ай бұрын
@@thispersonwriting1889 ****as for YOUR last paragraph**** - IT IS VERY SAD THAT The Harvards, The Yales , etc. are now DESTROYING the great American Universities culture , with the LGBTQFU2plus and other WOKEness crap ... 😞 - when they are appointing the LGBTQU2plus Presidents who are are cheaters, not qualified, dumb, plagiarsers, and/or political hacks - INSTEAD OF THE REAL QUALITY PROFESSIONAL ACADEMICS !!!!
@himanshutiwari3828 Жыл бұрын
In the realm of mathematics, a luminary shines, Gilbert Strang, a soul of boundless lines. With elegant grace, his words do flow, Unraveling secrets that numbers bestow. In lecture halls, his voice resounds, A symphony of wisdom that astounds. He weaves matrices and vectors, so profound, Creating symmetries where solutions are found. Through Linear Algebra's intricate dance, He unveils the beauty of matrices' expanse. Transformations and spaces, he unveils their might, Guiding seekers toward mathematical light. A teacher, mentor, with compassion so true, Gilbert Strang, a guiding star, we pursue. His passion for learning, forever ablaze, Igniting minds, illuminating endless pathways. His legacy inscribed in minds he's touched, A catalyst for minds that were once clutched. Gilbert Strang, your impact shall endure, A maestro of numbers, forever pure!
@IQ-303 Жыл бұрын
Thanks, ChatGPT!
@shahrukh877 Жыл бұрын
@@IQ-303 You're welcome, Bard!
@littlebrownrunninghood689 Жыл бұрын
I'm from India, and I had never heard of this gentleman until I stumbled upon this video. On learning this was the broadcast of the last lecture of a legendary teacher, I listened to the entirety of it with the utmost respect for him. Couldn't help but get emotional towards the end when everyone clapped for him. I wish him a happy and healthy retirement.
@alisharifi8917 Жыл бұрын
Dear Prof. Stang, as a faculty member of AI in Sharif University of Technology (Iran) I wanted to express my deep admiration for your linear algebra course, which I thoroughly enjoyed and have enthusiastically recommended to my students. Teaching math in a way that instills a love for the subject is a challenging task, much harder than solving complex equations. But your teaching style effortlessly achieves this. I would also like to congratulate you on your lifelong contributions to science, which have had a profound impact on the advancement of knowledge. Thank you for your dedication and inspiration.
@amyjohoppins1087 Жыл бұрын
Accolades from a prestigious uni tech from the other side of the world - amazing reach.
@sb.sb.sb. 11 ай бұрын
That is great!
@insulastudios 10 ай бұрын
Science should make countries closer, I appreciate a lot this message, thank you from Italy
@Ishanka. 9 ай бұрын
Oh ah , It means muslim baiya too can understand something 😮
@sb.sb.sb. 9 ай бұрын
@@Ishanka....haha apart from Kooran
@mohammadshahadathhossain981 Жыл бұрын
An entire generation of linear algebra learners will be indebted to you professor Strang. Heartfelt thanks for your passion towards the subject. Wishing you a great retirement life with your nearest and the dearest ones. Also, a big big thanks to MIT for being so generous in making these priceless video lectures available for the students worldwide!
@toseefkhan921 11 ай бұрын
What great he did so he will be remembered? Can y tell me
@JohnSmith-xx9th 9 ай бұрын
You’re praising him like he’s some kind of god 😂
@Mark-nm9sm 8 ай бұрын
@@JohnSmith-xx9th he is higher than god, his teachings are based on logic not fairytales
@joducringe 5 ай бұрын
@@toseefkhan921difference bw a professor and an uneducated kid
@kewkabe 9 ай бұрын
I had Prof. Strang for 18.06 in '88 and it was one of my favorite classes at MIT, thanks to him!
@pxdkhoa Жыл бұрын
Thank you for everything you have done for students who love Mathematics, especially in Linear Algebra and Calculus, Professor Strang.
@user-pp8fw9ep3l Жыл бұрын
Dear Prof. Gil, I wanted to express my sincere appreciation for the last lecture of your online class on linear algebra at MIT. Your expertise and passion for the subject truly shine through in your teaching. The clarity and depth of your explanations made the complex concepts accessible and engaging. Your dedication to your students' understanding is truly commendable. Thank you for inspiring me and igniting a curiosity for further exploration of linear algebra. Your genuine care for your students and willingness to address questions have left a lasting impression on me. I am grateful for the opportunity to be a part of your class and will carry the knowledge and insights gained from your lecture throughout my academic and professional journey. With gratitude, Fariba ♥♥♥♥♥♥♥♥
@sonnyobrien Жыл бұрын
He wont read this. He doesnt upload the videos. Try send as an email Edit: i am glad i am wrong
@mitocw Жыл бұрын
@@sonnyobrien The MIT OCW team has been collecting and sending the comments to him.
@sarithasaritha.t.r147 Жыл бұрын
@@sonnyobrien get rekt
@sonnyobrien Жыл бұрын
@@mitocw that is an achievement, thank you
@sonnyobrien Жыл бұрын
@@sarithasaritha.t.r147 jokes on you- I made this comment without the confidence yet hoped that it would garner a response directly from MIT allowing the commenter the assurance their message will be received.
@tullyfisher 6 күн бұрын
At the time of recording: 88 years old. 66 years at MIT (2 years instructor, 3 years student, 61 years professor).... What a dedicated life. Amazing.
@fantastic6295 23 сағат бұрын
It's like any job.
@mathematicia Жыл бұрын
Words fail to express the overwhelming emotions that stir within me as I watch Gil Strang's final lecture. At the age of 88, after dedicating a lifetime to the pursuit of knowledge, his retirement brings tears of admiration and gratitude to my eyes. The depth of his wisdom and unwavering passion is a testament to the extraordinary impact he has had on countless lives. Sir, your dedication and love for the subject have touched my heart in ways I can't fully articulate. You have shown me the beauty of a lifelong journey of learning and the profound difference one person can make. As you gracefully step away from the lectern, please know that you have left an indelible mark on the world of mathematics and on the hearts of aspiring learners like myself. Thank you for sharing your remarkable journey with us and inspiring generations to come.
@vivekjangir629 Жыл бұрын
Bhai mar var to nahi gya na😂
@GodofStories Жыл бұрын
Well said! One can hope to live as humbly, and work as diligently for a lifetime on a subject as Prof. Strang has.
@vivekjangir629 Жыл бұрын
@@mathematicia sorry bro, I thought you ll take it as a joke
@sweatstallion8437 Жыл бұрын
"If I have seen further than others, it is by standing upon the shoulders of giants."-Issac Newton.... Professor Gilbert Strang you are the giant that students across the world will always stand on. These videos will immortalize your immaculate lectures. Thank you sir for devoting your life to teaching and giving students hope amongst their struggles. The future will be a better place because of humans like you.
@UnchainedEruption 10 ай бұрын
That is absolutely incredible to have such powers of faculty at age 89, let alone killing it as an all-star Professor. Congrats on a career at MIT spanning 6 decades.
@alienxna6511 Күн бұрын
A true privilege to have watched this and what an amazing and humble man. If I had had a few teachers/lecturers of Gil's quality, maths would have been so much more relatable and enjoyable. Trust Gil is enjoying his retirement and am sure his legacy lives on.
@aayushkrm Жыл бұрын
I felt heartbroken and overwhelmed at the same time. What a legend and an unsung hero. Happy retirement Sir Gilbert Strang!
@ultramet Жыл бұрын
In a few minutes, I was able to grasp concepts that I couldn’t some 40 years ago. This is a testament to how masterful a teacher Professor Strang is. Thank you for helping an older guy like me “see the beauty” of linear algebra. Best of luck and enjoy your well deserved retirement..
@nianghuchen Жыл бұрын
Without prof. Strang ‘s lectures I could’ve never passed my own linear algebra class ten year ago. A millions thanks❤ and wish you a peaceful and happy retired life!
@reubenemmanuel3287 Жыл бұрын
The best teacher I never had. But thanks to MIT for sharing his linear algebra lectures. He has been a blessing for thousands of his students.
@chiragraju821 Жыл бұрын
I had the pleasure of attending your seminar 2 years back, and had a very insightful discussion. Thank you for saving my introductory linear algebra course, which led me to pursue numerical linear algebra and AI research.
@prabathh Жыл бұрын
Thank you very much, Prof Strang. Back when I was a student at my uni, I was going through some tough financial times and couldn't make it to the campus for lectures. But guess what? You came to the rescue! Your amazing lectures on OCW helped me not only snag an A+ for linear algebra but also lend a hand to a bunch of other students who were struggling. From the depths of my heart, I send you warm wishes and profound gratitude. Thank you for being such an incredible teacher, and role model. Your legacy will continue to inspire future generations of mathematicians around the world. Happy retirement sir. Lots of love from Sri Lanka.
@mick128 10 ай бұрын
I took Professor Strang’s course at MIT over 30 years ago. It was a very memorable experience as he spoke so straight forward but yet profound. I still have his text book. Congratulations to him for an amazing 61 years of teaching students.
@NeyVasconcellosJr 4 ай бұрын
Professor Gilbert is just from a different planet. He has achieved the highest level that any teacher can go. Thanks MIT for his lectures. It is a gift , and MIT presents this to us. Pro. Gil, God bless you! Thank you.👏👏👏
@mihaeljaksic9374 Жыл бұрын
"Life is about passions. Thank you for sharing mine", quote written on Michael Schumacher's helmet for his last F1 race in Brazil 2012. It was a privilege listening to You, professor Strang, share Your passion. Thank You for fantastic lectures, and contagious enthusiasm. Congratulations on Your remarkable career and I wish you nothing but the best - enjoy Your retirement, it's well deserved. Much love from Croatia 👏❤
@gedavaa1 Жыл бұрын
Many love from Mongolia. Wish long live Mr. Gil Strang.
@xirbleivs 6 ай бұрын
For me, the teacher is most noble profession that exists. All teachers have my utmost respect. And this legend, still doing what he loves at an age that most are already retired, deserves all the applause and a wonderfull retirement. May he live long and happily.
@feedlivi 11 ай бұрын
As an university lecturer, I just wanna thank you professor Strang for all the given knowledge.... you are an example of teaching vocation.
@OswaldChisala Жыл бұрын
I love this man. He gave me the confidence to do mathematics again after I dropped out of college. He deserves all the amazing energy he's received now and throughout the years. Stay blessed, Professor Strang!
@tharock220 11 ай бұрын
I took linear algebra at the University of Texas in 2008. My professor knew how awesome professor Strang’s lectures are and told us all to watch them in addition to attending the in class lectures. They were immensely helpful.
@GTVshinichi Жыл бұрын
Have to say that there’re innumerable Chinese students really learnt linear algebra form you. Thank you Professor
@socordesliquid1284 7 ай бұрын
I was a mathematics student some years ago But I changed my path to medical studying and I am a doctor now After 10 or more years I happily sit and listen and learn and feel algebra again So I say thanks professor For your time for your passion and dedication I hope this message finds all you well and wish nothing but good health and long life for you ❤ Special thanks to MIT OCW for broadcasting this beautiful lecture
@user-gq2mk4nq9b Жыл бұрын
living legend -- changed my life and helped set me on the path I am on today. Thank you Professor Strang. ♥
@alecfox3309 Жыл бұрын
This guy carried me through my class, and probably saved many others taking Linear Algebra too. Highest respects to them, and may they enjoy their retirement!
@mananmystique 3 ай бұрын
Thank you professor Strang for your immense contribution to Academia. We shall always be highly indebted to you.
@hefestvs Жыл бұрын
What I'm doing here? I don't even understand mathematics, I'm a history teacher
@k.christopher Жыл бұрын
Thank you Prof. Gil Strang, I love your lectures, kindness and humour. Thank you for the 61 years of teaching the world.
@miknrene Жыл бұрын
Professor Strang’s Linear Algebra book was the single best text I used in my entire academic career. My friend was struggling through LA, which was a requirement for her CS degree. I lent her my copy of Strang’s book, and it got her through the class (and on into a successful career as an SDE.). Thank you professor Strang.
@Sagardeep_Das Жыл бұрын
Seeing this last lecture from Mr. Strang made me realise just how dedicated and caring the teachers at MIT are. I wish you a happy retirement post teaching life. Thank you sir. Love from India. ❤
Жыл бұрын
I watched his lectures as a computer science student in Serbia, through MIT's open courseware platform. They were incredible and changed my perspective on many things, including whether to continue in academia or go to industry. It helped me decide to pursue a masters program at ETH Zürich, where I graduated with honors and then went on to Google where I still work as a machine learning team lead in search quality. Thank you professor Strang! You really had a profound impact on the course of my life.
@hibudy Жыл бұрын
I have completed linear algebra long time ago, I am here just to show him respect and give my tribute. Stay well sir 🙏
@ashirwadgarg174 10 ай бұрын
I can't believe this is his last lecture. 🥲Sir you are G.O.A.T of linear algebra. Thank you sir. Love from India. ❤
@tildarusso Жыл бұрын
No word can express my respect to Gil. From his lecture, I no longer fear of maths.
@Webs.x 15 күн бұрын
Cant believe i thought "oh yeah this video will put me to sleep" It hasnt. Hanging on every word, i wish i could have this man as my teacher.
@naserpadar 26 күн бұрын
I’ve decided to refresh my fragmented knowledge of linear algebra, and judging from the great feedback, I believe it’s the best choice. So, in advance, thank you, Professor Strang!
@sabbirahmed7391 Жыл бұрын
Professor Gilbert Strang is a great Mathematician and a massive inspiration to the young stars. Wish him all the very best for the rest of his life. Immense love and respect ( Sabbir, Bangladeshi, living in Finland)
@nickyjiang6404 8 ай бұрын
Although I am not a MIT student, I have been watching Mr.Strang’s lecture for several times on KZfaq and I am thankful for all lectures provided by him. Was an honor to watch such enormous lectures. Respect Mr. Strang, from Korea.
@dedekindcuts3589 Жыл бұрын
Thank you Prof Gilbert Strang for the lectures and textbook on linear algebra. 13 years ago after graduating from high school, Prof Strang's 18.06 MIT OCW series was the first lecture series I watched while waiting to study university math. His lectures emphasised the different ways to think about linear algebra instead of just dry formulas. To this day, I still remember and use his column picture and row picture of matrix multiplication (each column of AB is a linear combination of columns of A) - this is seldom taught elsewhere but it really helped made a lot of reasoning with matrices and linear algebra a lot more intuitive. Used these pictures many times even when learning more advance math and my classmates seldom know about it.
@JONASACHUOBIMaths Жыл бұрын
Any link to any of his books?
@dedekindcuts3589 Жыл бұрын
@@JONASACHUOBIMaths I bought his Introduction to Linear Algebra book
@valverde667 9 ай бұрын
I remember taking this course midway through my undergraduate career (after the main maths sequences). Holy crap, this dude was such a beast and I loved his lectures. I can't pinpoint why his lectures resonated with me but they did and I am forever grateful.
@markkennedy9767 Жыл бұрын
What a great way of teaching he has. He's always with the student, pretending he doesn't know the answer, and getting the student to think it through with him. Brilliant man.
@mitchyoung93 9 ай бұрын
Such a perfect way of describing his lecture style.
@400_billion_suns 3 ай бұрын
People like this man truly make the world a better place. There’s so much peace and beauty in a life focused on teaching and learning.
@amaansharif4655 9 ай бұрын
What a legend! Thank you so very much, Professor Strang! You has done during your careers about 61 years of teaching! This man, believed that placing and crossing sticks of multiplication involves by the Chinese Methods and Stick Methods. Although, the Chinese people were not focused on arithmetic and advanced algebra for users. It was about 13th Century BCE (2,000 years ago) that made early contributions, including a place value systems and the first used of negative numbers. That was the fact of a bit old Mathematics that they were worked out with the place values of the digits being multiplied and to solve practical problems in the time, such as division land. Then, count the places where the sticks crossed.
@HuguesTalbot Жыл бұрын
I can't think of any mathematics university professor who has had as much influence on the way mathematics is taught today as professor Strang. We all admire the great modern mathematical geniuses like Terry Tao or Grigori Perelman, but it is also vitally important that mathematics be taught in a human, vital, engaging fashion that ensures not only understanding but insight. Gil has done that for more than 50 years and deserves our admiration and love for his work.
@user-re1qy6kd6p Жыл бұрын
⏱Timestamps for this video! 0:00 - Introduction to the class event 10:05 - Alan Edelman's speech about Gilbert Strang 12:57 - Gilbert Strang's introduction 15:42 - Solving linear equations 30:42 - Visualization of four-dimensional space 31:37 - Nonzero Solutions 32:16 - Finding Solutions 34:19 - Elimination Process 41:05 - Introduction to Equations 42:26 - Finding Solutions 44:29 - Solution 1 47:42 - Rank of the Matrix 51:39 - In appreciation of Gilbert Strang 52:08 - Congratulations on retirement 52:38 - Personal experiences with Strang 55:01 - Life lessons learned from Strang 1:01:08 - Gil Strang's impact on math education 1:01:44 - Gil Strang's teaching style 1:02:20 - Gil Strang's legacy 1:03:23 - Congratulations to Gil Strang 🧙♂✨ Generated with Houdini Chrome extension.
@nova9672 7 ай бұрын
I’m a medical student so I don’t understand this stuff usually but this professor made me understand Math for the first time in my life
@coldplayer9403 7 ай бұрын
🧢
@BoltGodd 7 ай бұрын
@@coldplayer9403👖
@Jualgumo 7 ай бұрын
🧢🧢
@mitchell974 7 ай бұрын
🧢 🧢 🧢
@7p7m7 7 ай бұрын
🧢🧢🧢🧢
@user-em1bu1hn9o Жыл бұрын
Thank you so much prof. Strang, your impact on millions of students isnt a small thing. Your efforts and hard work in teaching hasn't gone in vain, but have reached many who were in need of that. Thank you so much!
@mbraincheck5761 7 ай бұрын
Got lots of helps from professor Strang when I was preparing for my graduate school. Just feels grateful and appreciate for the works have done. Hope you have a wonderful retire life!
@andyfox6632 Жыл бұрын
End of an era! An amazing teacher, a wonderfully helpful person and a legend! Thank you professor Strang! Best wishes to you!!
@muskansyed2037 11 ай бұрын
The standing ovations we all want to see ! This is absolutely fantastic age is surely limitless ❤ kudos to his patience his knowledge
@samirhussain458 8 ай бұрын
I have been watching this man’s videos ever since the beginning of university, ever since I even discussed linear algebra and I always look back to them as reference! You have always been a life saver Professor Strang, enjoy your retirement!!
@sohhamseal3143 Жыл бұрын
Instead of fumbling with futile attempts to use words that would not do justice to the mind-blowing impact Prof. Gil has had on each and every one of us, I'll just drop this comment right here, accompanied by a heartfelt ❤ emoji. This little symbol will forever remind me that I was lucky enough to witness the retirement of a true legend, and let me tell you, it was beyond amazing (and emotional too)!! Prof. Gil, here's to your awe-inspiring journey so far and the incredible adventures that lie ahead. Cheers to you! 🥂😍
@ciai7317 9 ай бұрын
I was taught the matrix described as squired group of numbers organized within parenthesis, them we were made sustract, multiply, etc, until we get the result. But never explain the root , nor even understand why we use the matriix, I included my classmates learned the mechanical way to resolve a matrix, not in a logical, meaningful way. As students, i get used to memorize and do the matrix in a mechanical way, get a pass score, without really understand. THIS CLASS is completely different. THANK YOU PROFESSOR GILBERT STRANG, ALAN EDELMAN, GRINFELD, GOEMANS.
@birgula.t.2965 Жыл бұрын
Thank you so much Prof. Strang. We will keep listening and suggesting your lectures.
@BibaGuy2010 Жыл бұрын
Congratulations professor. KZfaq recommended your lectures in few last weeks. I was somehow glued to watch entire videos posted even though i studied LA almost 20 years back given the depth on the topic and way of he was explaining the concepts. One would automatically appreciate the care and love he has for the subject. May you have happy and wonderful life in retirement. Hope you still plan to make a video or two or shorts clips once in a while to keep comms open with vast online boundaryless community which KZfaq enable. You are nothing short of a real star and role model wish we have more and celebrate.
@RASULSHABAN Жыл бұрын
Thanks MIT opencourseware and Prof Strang for the Maths online lectures. I learnt and applied alot of algebra/matrix applications in my finance lectures. It is a pleasure to share your works for maths understanding. Rasul Shaban-Uganda
@123XTSK 11 ай бұрын
His lectures motivated me to learn linear algebra when I was 73years.I then used it to teach my grand daughter at a UC....it was absorbing interesting and motivating....every lecture session.Thanks Prof and my virtual Guru in Lin Algebra.
@imranakhand8750 Жыл бұрын
It was a pleasant surprise that I came across this video, and more pleasant to listen to this masterclass. Thank you, Professor. Wish you enjoy your retired life happily and in good health.
@tirimula Жыл бұрын
Thank You, Prof. Gilbert Strang. Your teaching is inspiring for generations to come. We are truly grateful to you Sir!
@asterixx6878 7 ай бұрын
Thank you for everything, dear Professor Strang. It has been a real pleasure following your lessons. Your way of approaching mathematics, with humanity, warmth and understanding of the difficulties that many students have in their mathematics studies, is unparalleled in my opinion. The lessons have been (and still are!) both fun and inspiring, for me and many others around the world. Thank you for everything, dear professor.
@justalpha3429 Жыл бұрын
Total respect. Thank you Proff.Gil Strang🙏
@m.harrisonbaker462 Жыл бұрын
Thank you MIT and Prof Strang for the lecture series. I re-learned linear algebra from KZfaq in my 30s, and this guy was the best lecturer I've ever seen
@longh Жыл бұрын
Thank you Professor Strang for sharing your knowledge throughout the years. Your Linear Algebra course made me fall in love with the subject and I am very grateful!
@sidmehta1905 Жыл бұрын
A true legend. An artist who was a bona fide master of his craft. Thanks professor Strang for your generosity in sharing your mind and educating us all! Lots of respect.
@flipnothling9288 Жыл бұрын
I am grateful for being able to follow Professor Strang's excellent lectures. A great lecturer and a great man. Congratulations, Professor.
@aseemachoudhary5461 Жыл бұрын
He's the man who made me love linear algebra and gave me a wonderful insight about this beautiful branch of Mathematics. An absolute legend.
@ivanherreros7773 9 ай бұрын
Thank you. Seeing prof. Strang videos all I feel is gratitude. Around 2007, as a PhD student, I watched his youtube videos on Linear Algebra and they rescued me. They probably had more impact in shaping my career than anything else that happened then. I even wanted to add these lectures as a reference to my NeuroIPS paper.
@lynx141 10 ай бұрын
People such as this Professor are such an inspiration. For those unable to be in person in his lectures, videos such as these provide such an invaluable opportunity to learn and to be inspired by such learned minds. For this, thank you MIT.
@serdalaslantas Жыл бұрын
I have benefited from his linear algebra classes a lot . Thank you Gil for your dedication. You are good example to the new generations .
@BenZamzow Жыл бұрын
Congratulations and thanks to Professor Strang! He was one of the first to provide lecture videos online, in the pre-KZfaq days. An incredible resource. I self-studied linear algebra during the summer of 2002 with his textbook and lectures (via Real Player, if I'm not mistaken), then breezed through the course at my university that fall. Those videos are the main reason why I share my own (microeconomics) lectures & videos on KZfaq.
@dchap88 11 ай бұрын
Professor Strang and the MIT Open Course Ware single handlely gave me the extra content I needed to gain the confidence going into most of my engineering finals. I really appreciate everything Professor Strang and MIT has done for me. Thank you.
@afshinzand220 Жыл бұрын
knowledge, wisdom, charisma, decency, and many more beautiful things in a wonderful man! What else a student can wish to find in his/her professor? My humble congratulations to professor Strang for his remarkable and outstanding achievements.
@shocktocker8282 11 ай бұрын
Fesser- congrats on teaching a complex subject at such a high level over so many years. Thx to MIT for allowing this open course to be broadcast to the public. NOW that I'm retired I enjoy learning from videos like this. Would be GREAT if you could do KZfaq videos for public consumption, it would be a contribution to humanity! Good luck & continued success!
@sydneydahl3428 10 ай бұрын
Thanks Gil Strang! I got my only A in my math/stat undergrad and it was because of your lectures and the pattern my teacher implemented from your great example and teaching style. I am forever grateful for you exhuberating my love of linear algebra and math!
@adarshkumar7238 2 ай бұрын
Gill Strang , you are the best teacher I had ever been taught by, thank you for everything ❤
@Nobodyie Жыл бұрын
Increíble persona! Justo ahora empecé a tomar su curso de Álgebra Lineal y me esta gustando. Espero que en alguno años vuelva a este vídeo, mire este comentario y recuerde todo lo que aprendí en sus clases.
@jjk8417 Жыл бұрын
Thank you, Professor Strang, for your excellent lectures all these years. You're an absolute master in teaching.
@Pastor_virtual_Robson Жыл бұрын
uma despedida muito comovente. felicidades ao professor Gil Strang . Abraços daqui Brasil.
@moosewild4239 11 ай бұрын
I stumbled on to this video and it was a privilege to watch. Wish Professor Strang the best going forward.
@dr.stsang 9 ай бұрын
Professor Gilbert Strang is truly a professor. He makes Maths simple and accessible to ALL, not his own possession. His videos will be with us forever. Let's hope that those people who criticise him based on unparamount points can stop. As a PhD holder in a quantitative subject, I do learn a lot from his videos. I do thank Professor Gilbert Strang. Happy retirement and long wonderful life.
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