Gil Strang's Final 18.06 Linear Algebra Lecture

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  • เผยแพร่เมื่อ 7 มิ.ย. 2024
  • Speakers: 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 TH-cam 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
    More information at ocw.mit.edu/terms
    More courses at ocw.mit.edu
    Support OCW at ow.ly/a1If50zVRlQ
    We encourage constructive comments and discussion on OCW’s TH-cam and other social media channels. Personal attacks, hate speech, trolling, and inappropriate comments are not allowed and may be removed. More details at ocw.mit.edu/comments.

ความคิดเห็น • 1.8K

  • @johnstrang9300
    @johnstrang9300 ปีที่แล้ว +6787

    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
      @ldx8492 ปีที่แล้ว +61

      Heartfelt 😭

    • @ArchimedesBC
      @ArchimedesBC ปีที่แล้ว +40

      "Tempted to have second thoughts about retirement"? Please don't retire!

    • @gabrielbarberini9846
      @gabrielbarberini9846 ปีที่แล้ว +24

      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
      @marccox8977 ปีที่แล้ว +11

      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
      @solarion33 ปีที่แล้ว +7

      there is always the prospect of doing more TH-cam video's from the comfort of your home , living the TH-cam life :-)

  • @vplay2619
    @vplay2619 ปีที่แล้ว +3444

    what a legend retired after 61 years of teaching at MIT . RESPECT 🙌👏👏

  • @juliogaleano2063
    @juliogaleano2063 10 หลายเดือนก่อน +990

    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
      @sam-avni 9 หลายเดือนก่อน +3

      So are you retired now? What you did after your graduation?

    • @juliogaleano2063
      @juliogaleano2063 8 หลายเดือนก่อน +21

      @@sam-avni I taught in Argentina my native country for many years in the area of computer science and FEM not algebra. Why?

    • @puneettripathi740
      @puneettripathi740 8 หลายเดือนก่อน +29

      ​​@@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
      @juliogaleano2063 8 หลายเดือนก่อน +15

      @@puneettripathi740 thank you very much for your kind words. Where are you from?

    • @puneettripathi740
      @puneettripathi740 8 หลายเดือนก่อน +12

      @@juliogaleano2063 I am from Bharat sir.😊🙏

  • @jao8286
    @jao8286 21 วันที่ผ่านมา +175

    what am I doing here.

    • @internetinternet9610
      @internetinternet9610 12 วันที่ผ่านมา +8

      Procrastinating?

    • @ankitsarkar652
      @ankitsarkar652 12 วันที่ผ่านมา +8

      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
      @loyisongcobo6371 10 วันที่ผ่านมา +1

      welcome home

    • @evansgate
      @evansgate 7 วันที่ผ่านมา +1

      Here learning about linear algebra like the college dropout who hates math like me

    • @PerpetuallyMrPutin
      @PerpetuallyMrPutin 6 ชั่วโมงที่ผ่านมา

      😅😅😅same

  • @shinehitcs
    @shinehitcs ปีที่แล้ว +950

    GIl's lecture was probably the first time I realized the difference between MIT and other universities.

    • @wuzhai2009
      @wuzhai2009 ปีที่แล้ว +187

      It is the difference between Prof. Strang and other universities.

    • @ivandavidrodriguezamezquit2402
      @ivandavidrodriguezamezquit2402 ปีที่แล้ว +5

      no

    • @aNotoriousPhD
      @aNotoriousPhD ปีที่แล้ว +42

      strang is great, but i think that’s speaking a bit too broadly to categorize MIT that way

    • @HikarusVibrator
      @HikarusVibrator ปีที่แล้ว +73

      Were you at all “the other” universities? He’s a legend, but there are exceptional lecturers in may parts of the world.

    • @anthonygaertner8749
      @anthonygaertner8749 ปีที่แล้ว +3

      @HikariOfficialSoutjAfricaFanclub do you mind recommending some please

  • @user-dg8xq3jz7z
    @user-dg8xq3jz7z ปีที่แล้ว +1092

    Professor Strang's Linear Algebra Lecture is a real treasure. May Professor Strang has a wonderful retire life! Salute.

    • @jwshao8915
      @jwshao8915 ปีที่แล้ว +5

      黑手哥也学线代啊

    • @newhouse8867
      @newhouse8867 ปีที่แล้ว

      头像真没绷住

    • @user-dg8xq3jz7z
      @user-dg8xq3jz7z 11 หลายเดือนก่อน

      ​@@jwshao8915 Do you dare to bihuabihua with me?

    • @xtzhao2196
      @xtzhao2196 11 หลายเดือนก่อน

      ​@@user-dg8xq3jz7z small puxxy cub

    • @danypell2517
      @danypell2517 9 หลายเดือนก่อน

      He was already retired. To him, it is passion. :) he's almost 90!

  • @katarixy
    @katarixy 11 หลายเดือนก่อน +775

    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
      @katarixy 10 หลายเดือนก่อน +42

      @@b0benis linear algebra is a common class all math majors have to take at all schools...

    • @mysteriousshadow395
      @mysteriousshadow395 10 หลายเดือนก่อน +7

      No financial aid? I think most unis will give need-based aid regardless, no?

    • @zelousfoxtrot3390
      @zelousfoxtrot3390 10 หลายเดือนก่อน +13

      @@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
      @Mark-nm9sm 9 หลายเดือนก่อน +8

      @@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
      @tysontakayushi8394 8 หลายเดือนก่อน

      @@b0benis in the USA maybe

  • @mdrayhanuddinmojumder
    @mdrayhanuddinmojumder 7 หลายเดือนก่อน +111

    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.

  • @jihadalsweed
    @jihadalsweed ปีที่แล้ว +330

    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.

  • @LinoCoriaCisneros
    @LinoCoriaCisneros ปีที่แล้ว +205

    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

  • @thispersonwriting1889
    @thispersonwriting1889 7 หลายเดือนก่อน +56

    Without Gilbert Strang’s lectures, I wouldn’t have been able to graduate. From the bottom of my heart, thank you.

    • @TheVeritas2100
      @TheVeritas2100 4 หลายเดือนก่อน

      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
      @thispersonwriting1889 4 หลายเดือนก่อน +3

      @@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
      @TheVeritas2100 4 หลายเดือนก่อน

      @@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 !!!!

  • @mohammadshahadathhossain981
    @mohammadshahadathhossain981 ปีที่แล้ว +291

    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
      @toseefkhan921 ปีที่แล้ว +2

      What great he did so he will be remembered? Can y tell me

    • @JohnSmith-xx9th
      @JohnSmith-xx9th 9 หลายเดือนก่อน

      You’re praising him like he’s some kind of god 😂

    • @Mark-nm9sm
      @Mark-nm9sm 9 หลายเดือนก่อน +3

      @@JohnSmith-xx9th he is higher than god, his teachings are based on logic not fairytales

    • @joducringe
      @joducringe 6 หลายเดือนก่อน

      ​@@toseefkhan921difference bw a professor and an uneducated kid

  • @unclefreddy2009
    @unclefreddy2009 ปีที่แล้ว +260

    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
      @gongfei ปีที่แล้ว +13

      I failed my linear algebra course. Then, learned it again from professor Strang's lecture here on youtube.

    • @kenfrank2730
      @kenfrank2730 9 หลายเดือนก่อน +1

      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.

  • @sgravina
    @sgravina ปีที่แล้ว +190

    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
      @harshpatel4431 ปีที่แล้ว +2

      It's his ikigai

    • @quentin2578
      @quentin2578 ปีที่แล้ว +1

      You must have done well if you retired 21 years after your college period, even if you were already working; good for you!

    • @sgravina
      @sgravina ปีที่แล้ว +8

      @@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
      @quentin2578 ปีที่แล้ว +3

      @@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.

  • @ShifutheNomad
    @ShifutheNomad ปีที่แล้ว +23

    He taught my friend, his daughter, and her son. Three generations had the pleasure of being taught by this brilliant man. ❤

  • @ReveredDead
    @ReveredDead หลายเดือนก่อน +20

    61 freaking years?! Holy crap....he's been teaching longer than my own dad has been alive.

  • @alisharifi8917
    @alisharifi8917 ปีที่แล้ว +256

    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
      @amyjohoppins1087 ปีที่แล้ว +17

      Accolades from a prestigious uni tech from the other side of the world - amazing reach.

    • @sb.sb.sb.
      @sb.sb.sb. 11 หลายเดือนก่อน +1

      That is great!

    • @insulastudios
      @insulastudios 10 หลายเดือนก่อน

      Science should make countries closer, I appreciate a lot this message, thank you from Italy

    • @Ishanka.
      @Ishanka. 9 หลายเดือนก่อน

      Oh ah , It means muslim baiya too can understand something 😮

    • @sb.sb.sb.
      @sb.sb.sb. 9 หลายเดือนก่อน

      @@Ishanka....haha apart from Kooran

  • @kewkabe
    @kewkabe 10 หลายเดือนก่อน +26

    I had Prof. Strang for 18.06 in '88 and it was one of my favorite classes at MIT, thanks to him!

  • @UnchainedEruption
    @UnchainedEruption 10 หลายเดือนก่อน +40

    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.

  • @ultramet
    @ultramet ปีที่แล้ว +44

    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..

  • @reubenemmanuel3287
    @reubenemmanuel3287 ปีที่แล้ว +84

    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.

  • @sweatstallion8437
    @sweatstallion8437 ปีที่แล้ว +44

    "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.

  • @mick128
    @mick128 11 หลายเดือนก่อน +42

    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.

  • @feedlivi
    @feedlivi 11 หลายเดือนก่อน +52

    As an university lecturer, I just wanna thank you professor Strang for all the given knowledge.... you are an example of teaching vocation.

  • @littlebrownrunninghood689
    @littlebrownrunninghood689 ปีที่แล้ว +15

    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.

  • @nianghuchen
    @nianghuchen ปีที่แล้ว +21

    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!

  • @nickyjiang6404
    @nickyjiang6404 9 หลายเดือนก่อน +19

    Although I am not a MIT student, I have been watching Mr.Strang’s lecture for several times on TH-cam and I am thankful for all lectures provided by him. Was an honor to watch such enormous lectures. Respect Mr. Strang, from Korea.

  • @aayushkrm
    @aayushkrm ปีที่แล้ว +20

    I felt heartbroken and overwhelmed at the same time. What a legend and an unsung hero. Happy retirement Sir Gilbert Strang!

  • @mathematicia
    @mathematicia ปีที่แล้ว +23

    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
      @vivekjangir629 ปีที่แล้ว +2

      Bhai mar var to nahi gya na😂

    • @GodofStories
      @GodofStories ปีที่แล้ว +1

      Well said! One can hope to live as humbly, and work as diligently for a lifetime on a subject as Prof. Strang has.

    • @vivekjangir629
      @vivekjangir629 ปีที่แล้ว

      @@mathematicia sorry bro, I thought you ll take it as a joke

  • @xirbleivs
    @xirbleivs 6 หลายเดือนก่อน +10

    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.

  • @tharock220
    @tharock220 11 หลายเดือนก่อน +11

    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.

  • @pxdkhoa
    @pxdkhoa ปีที่แล้ว +55

    Thank you for everything you have done for students who love Mathematics, especially in Linear Algebra and Calculus, Professor Strang.

  • @user-pp8fw9ep3l
    @user-pp8fw9ep3l ปีที่แล้ว +101

    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
      @sonnyobrien ปีที่แล้ว +7

      He wont read this. He doesnt upload the videos. Try send as an email
      Edit: i am glad i am wrong

    • @mitocw
      @mitocw  ปีที่แล้ว +76

      ​@@sonnyobrien The MIT OCW team has been collecting and sending the comments to him.

    • @sarithasaritha.t.r147
      @sarithasaritha.t.r147 ปีที่แล้ว +35

      @@sonnyobrien get rekt

    • @sonnyobrien
      @sonnyobrien ปีที่แล้ว +1

      @@mitocw that is an achievement, thank you

    • @sonnyobrien
      @sonnyobrien ปีที่แล้ว +1

      @@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.

  • @user-em1bu1hn9o
    @user-em1bu1hn9o ปีที่แล้ว +3

    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!

  • @miknrene
    @miknrene ปีที่แล้ว +8

    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.

  • @prabathh
    @prabathh ปีที่แล้ว +23

    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.

  • @123XTSK
    @123XTSK 11 หลายเดือนก่อน +5

    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.

  • @alecfox3309
    @alecfox3309 ปีที่แล้ว +27

    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!

  • @andyfox6632
    @andyfox6632 ปีที่แล้ว +7

    End of an era! An amazing teacher, a wonderfully helpful person and a legend! Thank you professor Strang! Best wishes to you!!

  • @valverde667
    @valverde667 9 หลายเดือนก่อน +13

    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.

  • @m.harrisonbaker462
    @m.harrisonbaker462 ปีที่แล้ว +4

    Thank you MIT and Prof Strang for the lecture series. I re-learned linear algebra from TH-cam in my 30s, and this guy was the best lecturer I've ever seen

  • @user-re1qy6kd6p
    @user-re1qy6kd6p ปีที่แล้ว +19

    ⏱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.

  • @BenZamzow
    @BenZamzow ปีที่แล้ว +4

    Congratulations and thanks to Professor Strang! He was one of the first to provide lecture videos online, in the pre-TH-cam 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 TH-cam.

  • @chiragraju821
    @chiragraju821 ปีที่แล้ว +27

    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.

  • @flipnothling9288
    @flipnothling9288 ปีที่แล้ว +15

    I am grateful for being able to follow Professor Strang's excellent lectures. A great lecturer and a great man. Congratulations, Professor.

  • @ivanherreros7773
    @ivanherreros7773 10 หลายเดือนก่อน +1

    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.

  • @aseemachoudhary5461
    @aseemachoudhary5461 ปีที่แล้ว +5

    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.

  • @gedavaa1
    @gedavaa1 ปีที่แล้ว +5

    Many love from Mongolia. Wish long live Mr. Gil Strang.

  • @Sagardeep_Das
    @Sagardeep_Das ปีที่แล้ว +17

    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. ❤

  • @guitaristxcore
    @guitaristxcore ปีที่แล้ว +3

    I have only just started working on an undergraduate degree in Mathematics, however Dr Strangs lectures have been a part of my life for many years now as I have found these videos of him endlessly fascinating. I wish him a wonderful retirement and I hope he can rest easy knowing that his many great contributions will continue to inspire students for many years to come.

  • @400_billion_suns
    @400_billion_suns 3 หลายเดือนก่อน +4

    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.

  • @sydneydahl3428
    @sydneydahl3428 10 หลายเดือนก่อน +3

    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!

  • @muskansyed2037
    @muskansyed2037 11 หลายเดือนก่อน +5

    The standing ovations we all want to see ! This is absolutely fantastic age is surely limitless ❤ kudos to his patience his knowledge

  • @lynnxuanluo
    @lynnxuanluo 2 วันที่ผ่านมา

    I'm so lucky to have found such an excellent lecture. Although the professor was 88 years old when he gave this lecture, his ideas were still so clear. Once again I was amazed by Gil's excellent teaching. Thank you very much Gil for giving us a clearer understanding of linear algebra. I wish Professor Strang all the best.

  • @dchap88
    @dchap88 11 หลายเดือนก่อน +2

    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.

  • @OswaldChisala
    @OswaldChisala ปีที่แล้ว +50

    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!

  • @birgula.t.2965
    @birgula.t.2965 ปีที่แล้ว +3

    Thank you so much Prof. Strang. We will keep listening and suggesting your lectures.

  • @user-uq5qw1fk3d
    @user-uq5qw1fk3d ปีที่แล้ว +2

    Thanks for everything Gil! Your lectures and book got me through Linear Algebra and kept my interest in mathematics alive over 15 years ago. I still love going back your videos every few years. You've impacted the lives of millions and will live on in our hearts forever, all the best in retirement!

  • @dedekindcuts3589
    @dedekindcuts3589 ปีที่แล้ว +12

    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
      @JONASACHUOBIMaths ปีที่แล้ว

      Any link to any of his books?

    • @dedekindcuts3589
      @dedekindcuts3589 ปีที่แล้ว

      @@JONASACHUOBIMaths I bought his Introduction to Linear Algebra book

  • @jjk8417
    @jjk8417 ปีที่แล้ว +4

    Thank you, Professor Strang, for your excellent lectures all these years. You're an absolute master in teaching.

  •  ปีที่แล้ว +6

    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.

  • @justalpha3429
    @justalpha3429 ปีที่แล้ว +8

    Total respect. Thank you Proff.Gil Strang🙏

  • @ashirwadgarg174
    @ashirwadgarg174 10 หลายเดือนก่อน +11

    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. ❤

  • @Idtelos
    @Idtelos ปีที่แล้ว +3

    Although I did not get to take Dr. Strangs Linear Algebra class, I was taught it by one of his former students (who used Dr. Strangs textbook) who took this class as an undergrad and was one of his advisors. He was one of my advisors and In this, I feel a connection to Dr. Strang. Thank you for all your years of dedication to mathematics and its teachings.

  • @user-gq2mk4nq9b
    @user-gq2mk4nq9b ปีที่แล้ว +12

    living legend -- changed my life and helped set me on the path I am on today. Thank you Professor Strang. ♥

  • @ikechukwumichael1383
    @ikechukwumichael1383 ปีที่แล้ว +6

    Thank you Prof Gil Strang for all I have learned and keep learning from your lectures and for making your contents the first on OCW freely!!! All I have for you is love, great admiration and debt of gratitude Sir.

  • @jiongwang7645
    @jiongwang7645 ปีที่แล้ว +1

    I have been benefiting from Professor Strang as a student, and now a teacher. I know a simple "Thank" does not afford to any extend my gratefulness, but still, I think this would be the only simple way online to express a least a bit of it! Thank You!

  • @serdalaslantas
    @serdalaslantas ปีที่แล้ว +5

    I have benefited from his linear algebra classes a lot . Thank you Gil for your dedication. You are good example to the new generations .

  • @louisscott471
    @louisscott471 ปีที่แล้ว +4

    18-3 Undergrad. Prof Strang , together with all the professional accomplishments, is a wonderfully kind person. Thank you very much for everything Gil Strang!

  • @k.christopher
    @k.christopher ปีที่แล้ว +11

    Thank you Prof. Gil Strang, I love your lectures, kindness and humour. Thank you for the 61 years of teaching the world.

  • @sabbirahmed7391
    @sabbirahmed7391 ปีที่แล้ว +3

    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)

  • @ciai7317
    @ciai7317 9 หลายเดือนก่อน +3

    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.

  • @imranakhand8750
    @imranakhand8750 ปีที่แล้ว +7

    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.

  • @socordesliquid1284
    @socordesliquid1284 7 หลายเดือนก่อน +7

    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

  • @jelmargerritsen
    @jelmargerritsen ปีที่แล้ว

    Professor Strang, your lectures on Linear Algebra have been invaluable to me - they got me ready for my Physics degree, and later I found myself returning to them when my university's own lectures fell short. You set the standard for math education, one which I will strive to uphold myself. Thank you!

  • @asterixx6878
    @asterixx6878 7 หลายเดือนก่อน

    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.

  • @mihaeljaksic9374
    @mihaeljaksic9374 ปีที่แล้ว +7

    "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 👏❤

  • @shocktocker8282
    @shocktocker8282 ปีที่แล้ว +5

    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 TH-cam videos for public consumption, it would be a contribution to humanity! Good luck & continued success!

  • @BibaGuy2010
    @BibaGuy2010 ปีที่แล้ว

    Congratulations professor. TH-cam 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 TH-cam enable. You are nothing short of a real star and role model wish we have more and celebrate.

  • @hefestvs
    @hefestvs ปีที่แล้ว +14

    What I'm doing here? I don't even understand mathematics, I'm a history teacher

  • @himanshutiwari3828
    @himanshutiwari3828 ปีที่แล้ว +18

    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
      @IQ-303 ปีที่แล้ว +3

      Thanks, ChatGPT!

    • @shahrukh877
      @shahrukh877 ปีที่แล้ว +1

      @@IQ-303 You're welcome, Bard!

  • @siddhartharoy8978
    @siddhartharoy8978 ปีที่แล้ว +4

    I never got a chance to study under him but have read his books which are masterpiece. Deepest respect for him . May God bless him with good health and happiness. Thanks for inspiring many like me.

  • @samirhussain458
    @samirhussain458 9 หลายเดือนก่อน

    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!!

  • @m.y.hamada3784
    @m.y.hamada3784 ปีที่แล้ว +2

    It is unfortunate that there aren't more courses taught by Gil on TH-cam. I hope you enjoy good health for the rest of your life. Your lectures will never be forgotten.

  • @a123s1l
    @a123s1l ปีที่แล้ว +3

    I learnt Linear Algebra from his videos almost 20 years ago and had a chance to briefly meet him at MIT a few years after. What a legend. Thank you Prof. Gilbert Strang for all these years of teaching 🙏🙏

  • @tildarusso
    @tildarusso ปีที่แล้ว +16

    No word can express my respect to Gil. From his lecture, I no longer fear of maths.

  • @dark_art1
    @dark_art1 5 หลายเดือนก่อน

    A professor that will live forever, not only for his unique way of effectively teaching math, but also for his extraordinary ability to make students feel seen, heard and special. Thank you so much professor Strang!

  • @tullyfisher
    @tullyfisher 12 วันที่ผ่านมา +2

    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
      @fantastic6295 7 วันที่ผ่านมา

      It's like any job.

  • @mido3071
    @mido3071 ปีที่แล้ว +13

    Thanks professor Gilbert for all you have done for the world of math.
    I have been introduced by your lectures to linear algebra about 5 years ago. and since then my grasp and understanding not only of math but of everything, has all changed drastically.
    You have changed my view and how I perceive the world.
    Big thanks from Egypt and Congratulations on your retirement!

    • @theabuzerbharuchi
      @theabuzerbharuchi ปีที่แล้ว

      what r u doing now ?

    • @mido3071
      @mido3071 ปีที่แล้ว

      @@theabuzerbharuchi I graduated as an engineer, but it's hard to work a job in math here in egypt.

    • @theabuzerbharuchi
      @theabuzerbharuchi ปีที่แล้ว +1

      @@mido3071 it's hard everywhere for math

  • @markkennedy9767
    @markkennedy9767 ปีที่แล้ว +4

    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
      @mitchyoung93 9 หลายเดือนก่อน

      Such a perfect way of describing his lecture style.

  • @mbraincheck5761
    @mbraincheck5761 7 หลายเดือนก่อน

    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!

  • @marklamias7763
    @marklamias7763 9 หลายเดือนก่อน +2

    Congratulation on your retirement Professor Strang! We are forever indebted to you for your carefully crafted lectures and education you have brought to so many. I must tell you that I took my first two linear algebra courses from Richard Canary at the University of Michigan and several years after graduating, I needed to refresh myself on some concepts from the courses I took. Your material was the only really accessible material I could find and was perfect in every way. Succinct, yet sufficiently detailed for a post-graduate student needing to refresh his linear algebra skills prior to running some advanced simulation models with heavy use of matrices. Thanks again for all you've done. I hope you enjoy your retire and know the impact you've had on countless people and the applications, inventions they've subseqently brought forward that youv'e had a hand in, in some sense!

  • @shocktocker8282
    @shocktocker8282 ปีที่แล้ว +4

    AMAZING career, Professor.
    USA has been blessed to have you teach our children (AND our kid's kid's!).
    NOW is the time. Look at great athletes who come back after retirement....

  • @Pastor_virtual_Robson
    @Pastor_virtual_Robson ปีที่แล้ว +14

    uma despedida muito comovente. felicidades ao professor Gil Strang . Abraços daqui Brasil.

  • @mananmystique
    @mananmystique 3 หลายเดือนก่อน +2

    Thank you professor Strang for your immense contribution to Academia. We shall always be highly indebted to you.

  • @lynx141
    @lynx141 10 หลายเดือนก่อน

    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.

  • @NeyVasconcellosJr
    @NeyVasconcellosJr 5 หลายเดือนก่อน +3

    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.👏👏👏

  • @hibudy
    @hibudy ปีที่แล้ว +8

    I have completed linear algebra long time ago, I am here just to show him respect and give my tribute. Stay well sir 🙏

  • @andrewnguyen777
    @andrewnguyen777 ปีที่แล้ว

    Professor Gilbert Strang’s lectures truly made me more interested beyond what I was learning in the classroom. The way he conveyed, the way he encouraged, the way he showed and told a story with math or showing how to tell a “a story” with math, all of it and more kept me engaged or explore even if just a little beyond discussions in class. These VODs re-flourished my appreciation and excitement for math after having it snuffed off by many monotonous professors or instructors who’ve made me eventually take on “just taking this for the credit requirements but idk why else” mindset before I realized it-and this is me coming from the MIT of the South, tongue-in-cheek. Thank you tremendously MIT OCW and Gil Strang for all you do and inspire to do for the betterment of the world, generating, disseminating, and preserving knowledge. I am joyed that Professor Gil has seen the generous messages and testimonies of his impact and legacy. I wish a blessed well-off retirement to you sir Strang!

  • @tirimula
    @tirimula ปีที่แล้ว

    Thank You, Prof. Gilbert Strang. Your teaching is inspiring for generations to come. We are truly grateful to you Sir!