Gram-Schmidt Orthogonalization

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  • Опубликовано: 23 дек 2024

Комментарии • 79

  • @neevetiasli
    @neevetiasli 7 месяцев назад +27

    I have a disease, i can't learn something before understanding the logic behind it. Now thanks to you sir, i am learning this processus and never forgetting it!

    • @mostofatanvir595
      @mostofatanvir595 Месяц назад

      same disease

    • @neevetiasli
      @neevetiasli Месяц назад

      @mostofatanvir595 i'd say get well soon but i know it's incurable

  • @joshstephenson9711
    @joshstephenson9711 Год назад +19

    There are hundreds of videos about Gram-Schmidt, but this is the best one that demonstrates it visually, which is imperative to understanding it intuitively. Thanks!

  • @johnbrownell1
    @johnbrownell1 5 лет назад +9

    Thanks for actually showing this instead of just assuming that this literally just plays out perfectly in everyones head. I don't understand how people think linear algebra should be taught with just a chalkboard in 2019

    • @dangries3868
      @dangries3868  5 лет назад +5

      It certainly didn't play out perfectly in my head when I first learned it! I'm still using plenty of chalk in the classroom but it sure is nice to have some technology to make this easier to understand.

  • @amardeep0812
    @amardeep0812 6 лет назад +63

    Dear sir... I have been trying to learn this process through books for past week..... but there's no explanation in any book or on Internet that could actually match this. this visual description has clear all my doubts thank you so much... lots of love from India.

    • @rolloisles
      @rolloisles 6 лет назад +4

      Glad it was helpful! Thank you.

  • @afsinyilmaz8665
    @afsinyilmaz8665 10 месяцев назад +1

    I was struggling to understand the reason behind subtracting one additional term for each additional base vector to remove parts that are not orthogonal with Gram-Schmidt and this visual did it for me. Great!

  • @grooveseeker6269
    @grooveseeker6269 Год назад

    THANK YOU!
    I couldn't gasp why subtracting the proyecting would give you the desired vector, thank you sooo much

  • @MegaAlindo
    @MegaAlindo 6 лет назад +3

    Brilliant geometric explanation. Nowhere in youtube I was able to find something like this where I can visualize what I am doing. Thank you so much and I would hope that you make more videos like this

  • @loganynguyen
    @loganynguyen 4 года назад +1

    Way more clear and concise than anyone else. Thanks!

  • @deakinsrbut
    @deakinsrbut 4 месяца назад

    Great explanation. I can get the math anywhere, but your visual explanation is the best I've seen so far. Do more videos!!! :D

  • @ulumaika1455
    @ulumaika1455 6 лет назад +4

    Can't express how much I appreciate the visual representation! Taking linear algebra for the first time has proved difficult in the realm of trying to visualize whats actually going on in the mess of notation and mathy proof readings. But your video explains it perfectly! You definitely deserve more views on this. Keep up the good work my guy and much aloha from out here in the 808!

    • @rolloisles
      @rolloisles 6 лет назад

      ʻUlu Maika Thank you! This was something I put together mainly for my students, but I'm very glad you also found it useful!

  • @vicen1090
    @vicen1090 3 года назад

    This, the most clear, visualy appealing and well define representation! Ty ty

  • @akanguven114
    @akanguven114 7 месяцев назад +1

    In every time span may God bless you! Thanks

  • @isxp
    @isxp 3 года назад

    Excellent explanation. I wish I was never told that the standard vector basis were always perpendicular and of length one, because now I've had such a difficult time learning about basis, vector spaces, and inner products, because I kept thinking they needed to be perpendicular the way i, j, k are. Hearing you say "these two basis vectors may not be perpendicular or of length one" was like the moment where it all clicked.

  • @rmodur
    @rmodur Год назад

    Wonderful explanation, this is the best video on this topic. Thank you!

  • @LawrenceChan-me1rw
    @LawrenceChan-me1rw Год назад

    Excellent interpretation and explanation of the process. Very intuitive!

  • @sanjaisrao484
    @sanjaisrao484 Год назад

    thanks for the excellent explanation You are great , keep helping people

  • @olayinkajosiahajayi8330
    @olayinkajosiahajayi8330 Год назад

    Thank you Dan. This explanation is beautiful.

  • @IanRichardArko
    @IanRichardArko 4 года назад +5

    This was amazing! Thank you for making it all so clear :)

  • @yeast4529
    @yeast4529 2 года назад

    Thanks, really helpful to understand the visual representation amongst of all the written work

  • @the_l0st317
    @the_l0st317 6 месяцев назад

    Exactly what i was looking for, Mr. 3B1B jr.

  • @jaisejohnson
    @jaisejohnson 4 года назад +4

    Wow that was a great explanation ,thank you.

  • @stanbaltazar
    @stanbaltazar 4 года назад +1

    That was a great visualization. Thank you!

  • @samihahsharif7441
    @samihahsharif7441 10 месяцев назад

    That was amazing, sir!

  • @최경훈-w5y
    @최경훈-w5y 6 лет назад

    이해하기 쉽네요. 좋은 강의 고맙습니다.
    its easy to understand. thank for such a good lecture

  • @filippodembech7659
    @filippodembech7659 2 года назад

    Thanks to have explained this process so well!

  • @haiderrizvi7927
    @haiderrizvi7927 3 года назад

    Thank you so much I m literally crying!

  • @durumbasa
    @durumbasa 4 года назад

    Wow man, thank you so much! God bless you.

  • @chessmaster6407
    @chessmaster6407 4 года назад

    Excellent! Very clear explanation

  • @Sipnayan
    @Sipnayan 4 года назад

    Excellent video. Thank you.

  • @JannisAdmek
    @JannisAdmek 6 лет назад

    thanks so much! I really like the intuitive explanation!

  • @jonahperelman5175
    @jonahperelman5175 9 месяцев назад

    goated video, cheers!

  • @johnstone6848
    @johnstone6848 5 лет назад +2

    Well illustrated thanks a lot. What software did you use to make the purple plane at the beginning? I really need to get something like that for my linear algebra class.

    • @rolloisles
      @rolloisles 5 лет назад

      Geogebra. It's free! Sorry, I should have mentioned that somewhere.

  • @jacobzetterfeldt3652
    @jacobzetterfeldt3652 Год назад

    great explanation. Thank you for the help :)

  • @madeleinesong2418
    @madeleinesong2418 2 месяца назад

    Hello, what visualization software is this?

  • @zuherkhalaf2679
    @zuherkhalaf2679 3 года назад

    Which Programm do you use for this visualisation if I may ask ?

  • @ProduccionesLukaz
    @ProduccionesLukaz 5 лет назад

    Great video! Please let me add subtitles to this so I can share it with more people :D

  • @eyton8558
    @eyton8558 2 года назад

    This is a great video thank you

  • @tuongnguyen9391
    @tuongnguyen9391 2 года назад

    Hey what kind of software that enable you to do that ?

  • @AnonymousIguana
    @AnonymousIguana 2 года назад

    Great, thanks :D. I love internet for such a good quality education materials :)

  • @pujachakraborty8163
    @pujachakraborty8163 5 лет назад

    It is great ... and itz vey amenable to understand.. thanks... actually i was seeking for this type of pictorial view

  • @davidfield5295
    @davidfield5295 7 месяцев назад

    Great explanation

  • @fionazengyuqi1746
    @fionazengyuqi1746 Год назад

    Thanks sirrrrr helped a lot!

  • @alanmichaelthayil967
    @alanmichaelthayil967 2 года назад

    Thank you very much for this video :)

  • @zumrazen
    @zumrazen 6 лет назад +4

    I can't explain that how helpful it is! More, please :)
    Thanks a lot. I'd like to ask which programme did you use for this animation, professor?

    • @dangries3868
      @dangries3868  6 лет назад +2

      Glad you found it helpful! I used Geogebra for the plots, and Screencast-o-matic to capture the video.

  • @groenekool
    @groenekool 5 лет назад

    Thank you for the explanation!

  • @matansavage
    @matansavage Год назад

    wow. great explanation. thanks

  • @bensas42
    @bensas42 3 года назад

    THANK YOU!

  • @00incog00
    @00incog00 2 года назад

    Thank you so much

  • @timothyryan8753
    @timothyryan8753 Год назад

    This helped a little bit but man is this stuff hard to grasp. Definitely gonna fck this up on the test.

  • @asylantragqled4270
    @asylantragqled4270 3 месяца назад

    Incredible

  • @clicky5494
    @clicky5494 21 день назад

    OMG THANK YOU SO MUCH

  • @rosenasena2630
    @rosenasena2630 4 года назад

    Thank you so much sir... it helped alot!

  • @harshitkatiyar3901
    @harshitkatiyar3901 3 года назад

    Thanks this is much helpful

  • @slaozeren8742
    @slaozeren8742 3 года назад

    thank you, sir!

  • @stevenmoore4947
    @stevenmoore4947 4 года назад

    Awesome job! What visualization tool are you using?

    • @dangries3868
      @dangries3868  4 года назад

      Thank you. I used Geogebra. You can do a lot with it!

  • @dystopian_1
    @dystopian_1 2 года назад

    Wow... thanks a ton

  • @ycombinator765
    @ycombinator765 4 года назад

    Beautiful

  • @svenzanetti5637
    @svenzanetti5637 4 года назад

    Perfect!

  • @ejjoxe6594
    @ejjoxe6594 5 месяцев назад

    THANK YOU

  • @himanshuchauhan9865
    @himanshuchauhan9865 3 года назад

    crystal clear

  • @k12classesbyrahulsir30
    @k12classesbyrahulsir30 6 лет назад

    Awesome sir

  • @faazabidi
    @faazabidi 3 года назад

    Excellent

  • @nikolaiborbe3366
    @nikolaiborbe3366 10 дней назад

    Holy fuck this just saved me

  • @mahmoudmaher00
    @mahmoudmaher00 3 года назад

    Will it be: (-11/10, 33/10)?

    • @dangries3868
      @dangries3868  3 года назад +1

      That's pointing in the right direction for the second vector, but don't forget to normalize. The two vectors are 1/sqrt(10)(3, 1) and 1/sqrt(10)(-1, 3).

  • @eboyofcolour945
    @eboyofcolour945 2 года назад

    this is amazing lol

  • @quaternion3267
    @quaternion3267 16 дней назад

    HOLY UNFATHOMALY BASEEDDD

  • @koala1578
    @koala1578 Год назад

    ily

  • @dbf72829
    @dbf72829 Год назад

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