The Gram-Schmidt Orthogonalization process can be used to find an orthonormal basis for a vector space, given any basis to start with.
Жүктеу.....
Пікірлер: 70
@neevetiasliАй бұрын
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!
@joshstephenson9711 Жыл бұрын
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!
@amardeep08125 жыл бұрын
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
5 жыл бұрын
Glad it was helpful! Thank you.
@akanguven114Ай бұрын
In every time span may God bless you! Thanks
@johnbrownell15 жыл бұрын
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
5 жыл бұрын
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.
@loganynguyen3 жыл бұрын
Way more clear and concise than anyone else. Thanks!
@the_l0st317Ай бұрын
Exactly what i was looking for, Mr. 3B1B jr.
@vicen10902 жыл бұрын
This, the most clear, visualy appealing and well define representation! Ty ty
@afsinyilmaz86654 ай бұрын
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!
@grooveseeker62697 ай бұрын
THANK YOU! I couldn't gasp why subtracting the proyecting would give you the desired vector, thank you sooo much
@isxp3 жыл бұрын
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.
@IanRichardArko3 жыл бұрын
This was amazing! Thank you for making it all so clear :)
@LawrenceChan-me1rw Жыл бұрын
Excellent interpretation and explanation of the process. Very intuitive!
@rmodur11 ай бұрын
Wonderful explanation, this is the best video on this topic. Thank you!
@yeast45292 жыл бұрын
Thanks, really helpful to understand the visual representation amongst of all the written work
@olayinkajosiahajayi83307 ай бұрын
Thank you Dan. This explanation is beautiful.
@user-yw2nc4ny6k5 жыл бұрын
이해하기 쉽네요. 좋은 강의 고맙습니다. its easy to understand. thank for such a good lecture
@MegaAlindo5 жыл бұрын
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
@dangries3868
5 жыл бұрын
Thanks! Glad it was helpful.
@stanbaltazar4 жыл бұрын
That was a great visualization. Thank you!
@sanjaisrao484 Жыл бұрын
thanks for the excellent explanation You are great , keep helping people
@samihahsharif74414 ай бұрын
That was amazing, sir!
@JannisAdmek5 жыл бұрын
thanks so much! I really like the intuitive explanation!
@jaisejohnson4 жыл бұрын
Wow that was a great explanation ,thank you.
@filippodembech7659 Жыл бұрын
Thanks to have explained this process so well!
@ulumaika14556 жыл бұрын
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
6 жыл бұрын
ʻUlu Maika Thank you! This was something I put together mainly for my students, but I'm very glad you also found it useful!
@chessmaster64073 жыл бұрын
Excellent! Very clear explanation
@Sipnayan3 жыл бұрын
Excellent video. Thank you.
@durumbasa3 жыл бұрын
Wow man, thank you so much! God bless you.
@pujachakraborty81634 жыл бұрын
It is great ... and itz vey amenable to understand.. thanks... actually i was seeking for this type of pictorial view
@eyton8558 Жыл бұрын
This is a great video thank you
@groenekool5 жыл бұрын
Thank you for the explanation!
@jacobzetterfeldt36528 ай бұрын
great explanation. Thank you for the help :)
@matansavage Жыл бұрын
wow. great explanation. thanks
@haiderrizvi79272 жыл бұрын
Thank you so much I m literally crying!
@fionazengyuqi1746 Жыл бұрын
Thanks sirrrrr helped a lot!
@rosenasena26303 жыл бұрын
Thank you so much sir... it helped alot!
@AnonymousIguana2 жыл бұрын
Great, thanks :D. I love internet for such a good quality education materials :)
@davidfield5295Ай бұрын
Great explanation
@jonahperelman51754 ай бұрын
goated video, cheers!
@OfficialSetty2 жыл бұрын
Thank you so much
@ProduccionesLukaz4 жыл бұрын
Great video! Please let me add subtitles to this so I can share it with more people :D
@alanmichaelthayil9672 жыл бұрын
Thank you very much for this video :)
@harshitkatiyar39012 жыл бұрын
Thanks this is much helpful
@slaozeren87423 жыл бұрын
thank you, sir!
@zumrazen5 жыл бұрын
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
5 жыл бұрын
Glad you found it helpful! I used Geogebra for the plots, and Screencast-o-matic to capture the video.
@bensas422 жыл бұрын
THANK YOU!
@svenzanetti56373 жыл бұрын
Perfect!
@ycombinator7653 жыл бұрын
Beautiful
@dystopian_12 жыл бұрын
Wow... thanks a ton
@timothyryan8753 Жыл бұрын
This helped a little bit but man is this stuff hard to grasp. Definitely gonna fck this up on the test.
@k12classesbyrahulsir305 жыл бұрын
Awesome sir
@himanshuchauhan98653 жыл бұрын
crystal clear
@faazabidi3 жыл бұрын
Excellent
@johnstone68485 жыл бұрын
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
5 жыл бұрын
Geogebra. It's free! Sorry, I should have mentioned that somewhere.
@ejjoxe65945 күн бұрын
THANK YOU
@zuherkhalaf26792 жыл бұрын
Which Programm do you use for this visualisation if I may ask ?
@stevenmoore49474 жыл бұрын
Awesome job! What visualization tool are you using?
@dangries3868
4 жыл бұрын
Thank you. I used Geogebra. You can do a lot with it!
@eboyofcolour945 Жыл бұрын
this is amazing lol
@tuongnguyen9391 Жыл бұрын
Hey what kind of software that enable you to do that ?
@koala157810 ай бұрын
ily
@mahmoudmaher003 жыл бұрын
Will it be: (-11/10, 33/10)?
@dangries3868
3 жыл бұрын
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).
Пікірлер: 70
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!
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!
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
5 жыл бұрын
Glad it was helpful! Thank you.
In every time span may God bless you! Thanks
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
5 жыл бұрын
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.
Way more clear and concise than anyone else. Thanks!
Exactly what i was looking for, Mr. 3B1B jr.
This, the most clear, visualy appealing and well define representation! Ty ty
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!
THANK YOU! I couldn't gasp why subtracting the proyecting would give you the desired vector, thank you sooo much
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.
This was amazing! Thank you for making it all so clear :)
Excellent interpretation and explanation of the process. Very intuitive!
Wonderful explanation, this is the best video on this topic. Thank you!
Thanks, really helpful to understand the visual representation amongst of all the written work
Thank you Dan. This explanation is beautiful.
이해하기 쉽네요. 좋은 강의 고맙습니다. its easy to understand. thank for such a good lecture
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
@dangries3868
5 жыл бұрын
Thanks! Glad it was helpful.
That was a great visualization. Thank you!
thanks for the excellent explanation You are great , keep helping people
That was amazing, sir!
thanks so much! I really like the intuitive explanation!
Wow that was a great explanation ,thank you.
Thanks to have explained this process so well!
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
6 жыл бұрын
ʻUlu Maika Thank you! This was something I put together mainly for my students, but I'm very glad you also found it useful!
Excellent! Very clear explanation
Excellent video. Thank you.
Wow man, thank you so much! God bless you.
It is great ... and itz vey amenable to understand.. thanks... actually i was seeking for this type of pictorial view
This is a great video thank you
Thank you for the explanation!
great explanation. Thank you for the help :)
wow. great explanation. thanks
Thank you so much I m literally crying!
Thanks sirrrrr helped a lot!
Thank you so much sir... it helped alot!
Great, thanks :D. I love internet for such a good quality education materials :)
Great explanation
goated video, cheers!
Thank you so much
Great video! Please let me add subtitles to this so I can share it with more people :D
Thank you very much for this video :)
Thanks this is much helpful
thank you, sir!
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
5 жыл бұрын
Glad you found it helpful! I used Geogebra for the plots, and Screencast-o-matic to capture the video.
THANK YOU!
Perfect!
Beautiful
Wow... thanks a ton
This helped a little bit but man is this stuff hard to grasp. Definitely gonna fck this up on the test.
Awesome sir
crystal clear
Excellent
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
5 жыл бұрын
Geogebra. It's free! Sorry, I should have mentioned that somewhere.
THANK YOU
Which Programm do you use for this visualisation if I may ask ?
Awesome job! What visualization tool are you using?
@dangries3868
4 жыл бұрын
Thank you. I used Geogebra. You can do a lot with it!
this is amazing lol
Hey what kind of software that enable you to do that ?
ily
Will it be: (-11/10, 33/10)?
@dangries3868
3 жыл бұрын
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).
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