Excellent lecture. Very clear and succinct. I appreciate this video. Just finished my first course in linear algebra and beginning to research additional topics between semesters. This has been very eye opening. Anyone care to explain how functions are used as vectors? I'm a bit lost with e^x as a vector.
That's an amazing content. I appreciate it... Since I only got the feature called bilinearity described quickly in my course, I got to need some extra information to make myself whether I understand that well.
Sir, are all these definitions and calculations valid for only Real Vector Space,aren't they? Could it be more educational given all in complex vector space ?
OMG I love you as a professor. I can understand everything clearly.
RT
Scott, you nailed it for me. Thank you for simplifying the inner product!
The way he smiles and babystep to the theme!!!!!!!! THE BEST PROFESSOR EVEER
Kind of teacher teache everyone can need to have
love your courses from Africa-Rwanda
thank you so much, great lecture. Btw at 11:52 I got sqrt(136)
Yes, you are correct. The Prof. forgot to subtract the two 6s.
I finally have a clear idea about the basics of Inner Products, all thanks to you Sir!
Wonderful Content,please continue to upload videos
That was really friggin handy! Thanks for making that, I appreciate it 😊😊
Wooow Sir........you are totally saving my life
Concise and helpful lecture! Thank you very much!
Its so helpful! The concepts are expressed in such a simple and clear ways and everything just linked so well. omg love you so much.
Thank you! I got this well, From Kenya!
Reading my textbook i understand nothing, but watching your video it motivates me, now i understand everything, thanks
Same here
Outstanding sir
Best professor!
Excellent lecture. Very clear and succinct. I appreciate this video. Just finished my first course in linear algebra and beginning to research additional topics between semesters. This has been very eye opening. Anyone care to explain how functions are used as vectors? I'm a bit lost with e^x as a vector.
You seem like such a nice teacher
A great lecture. Thank you sir.
was really fruitful watching the video!
Great video!
Thank you so much from saudi arabia :)
its so clear and i like his smile :D
Thanks Scott! It was awesome.
So is it possible to use the arc length formula and the norm formula to calculate the length of a function?
Amazing lecture!
That's an amazing content. I appreciate it... Since I only got the feature called bilinearity described quickly in my course, I got to need some extra information to make myself whether I understand that well.
Very Nice way of teaching sir!! Ma Sha Allah
Very good lecture, extremely clear and valuable, thank you! By the way, at 21:12, that fact ||
Amazing ! Thanks 🙏🏻
THANK YOU SO MUCH!!! THIS SAVED ME
Excellent video
Thank you very much!
Thank you so much, this was so helpful! You explained the concepts so clearly!
amazing teaching. really got things well! :)
Thanks so much for uploading this! It is very clear and helpful! :)
Sir, thank you for the handful of information !!! was really helpful !
this cleared everything up thanks so much
thanks to you Sir!
This was awesome thank you!
Glad it was helpful!
I want to be like Scott
I wish every prof is like you
Jazak Allah Khair
thank you sir
Thank you Sir!!!
very clear to follow
Thanks, It was very useful for me.
Greetings from Mexico. :)
shouldn't 11:42 be = square root of 136?
nevermind, I saw another comment and it should be 136
Thanks profesor
Thank you sir :)
I LOVE THIS GUY
Sir, are all these definitions and calculations valid for only Real Vector Space,aren't they? Could it be more educational given all in complex vector space ?
❤
Thank you!
Does squaring both sides really prove the triangle inequality? For an algebraic equation, squaring both sides doesn't necessarily prove the equation.
Thank you so much
😇
Can write inner product as instead of ?
No
@@azharadv8510 nice
Can anyone help me understand things at 10:00, or at least give me the link to understand it :((((
i love you
I'm only 1 min into the video and I can clearly understand you. A lot of my grad professor didn't even speak english that well.
bastard smile on his face
You are talking too much
Thank you sir