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!
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
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.
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.
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!
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
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!
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.
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.
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).
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!
same disease
@mostofatanvir595 i'd say get well soon but i know it's incurable
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!
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
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.
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.
Glad it was helpful! Thank you.
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
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
Thanks! Glad it was helpful.
Way more clear and concise than anyone else. Thanks!
Great explanation. I can get the math anywhere, but your visual explanation is the best I've seen so far. Do more videos!!! :D
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!
ʻUlu Maika Thank you! This was something I put together mainly for my students, but I'm very glad you also found it useful!
This, the most clear, visualy appealing and well define representation! Ty ty
In every time span may God bless you! Thanks
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.
Wonderful explanation, this is the best video on this topic. Thank you!
Excellent interpretation and explanation of the process. Very intuitive!
thanks for the excellent explanation You are great , keep helping people
Thank you Dan. This explanation is beautiful.
This was amazing! Thank you for making it all so clear :)
Thanks, really helpful to understand the visual representation amongst of all the written work
Exactly what i was looking for, Mr. 3B1B jr.
Wow that was a great explanation ,thank you.
That was a great visualization. Thank you!
That was amazing, sir!
이해하기 쉽네요. 좋은 강의 고맙습니다.
its easy to understand. thank for such a good lecture
Thanks to have explained this process so well!
Thank you so much I m literally crying!
Wow man, thank you so much! God bless you.
Excellent! Very clear explanation
Excellent video. Thank you.
thanks so much! I really like the intuitive explanation!
goated video, cheers!
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.
Geogebra. It's free! Sorry, I should have mentioned that somewhere.
great explanation. Thank you for the help :)
Hello, what visualization software is this?
Which Programm do you use for this visualisation if I may ask ?
Great video! Please let me add subtitles to this so I can share it with more people :D
This is a great video thank you
Hey what kind of software that enable you to do that ?
Great, thanks :D. I love internet for such a good quality education materials :)
It is great ... and itz vey amenable to understand.. thanks... actually i was seeking for this type of pictorial view
Great explanation
Thanks sirrrrr helped a lot!
Thank you very much for this video :)
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?
Glad you found it helpful! I used Geogebra for the plots, and Screencast-o-matic to capture the video.
Thank you for the explanation!
wow. great explanation. thanks
THANK YOU!
Thank you so much
This helped a little bit but man is this stuff hard to grasp. Definitely gonna fck this up on the test.
Incredible
OMG THANK YOU SO MUCH
Thank you so much sir... it helped alot!
Thanks this is much helpful
thank you, sir!
Awesome job! What visualization tool are you using?
Thank you. I used Geogebra. You can do a lot with it!
Wow... thanks a ton
Beautiful
Perfect!
THANK YOU
crystal clear
Awesome sir
Excellent
Holy fuck this just saved me
Will it be: (-11/10, 33/10)?
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).
this is amazing lol
HOLY UNFATHOMALY BASEEDDD
ily
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