I must say your lecture supercedes those in higher institutions.
@STKeTcH3 жыл бұрын
same
@miguelnuno9283 жыл бұрын
Correct
@BoZhaoengineering2 жыл бұрын
agreed.
@overl0ad816 Жыл бұрын
🤓
@julenekenyon327811 ай бұрын
I agree 💯. At this point you deserve my tuition!
@isxp3 жыл бұрын
Good god, I wish I found this 8 weeks ago. The drop date for classes is the 30th. I ended up with 6% on my first midterm in Mathematical Physics. This class will haunt till the day I die. I'll probably know this material better than any of the classes I've taken, as I'll likely obsess over it for months.
@kartikkalia013 жыл бұрын
I'm at same situation as yours, please suggest similar videos/playlist.
@mohammedbastaki21015 ай бұрын
same here pal
@tadabae3 жыл бұрын
my final exam is in 15 minutes and i stumbled across this channel. he explains this so clearly!! i wish i found this channel earlier omg
@beams94972 жыл бұрын
Haha saaaame
@macdonaldnnadi Жыл бұрын
15 minutes is crazy dawg
@lingwaili12033 жыл бұрын
Thank you so much! Professor Dave explains clearly so I can finally understand orthogonal
@ddiverr4 жыл бұрын
clean, informative, and concise video, thanks guy
@bluefenix14572 ай бұрын
This explained it so well for me, you spoke clearly and didn't do messy sentences, and even paused after every sentence to process it 👏👏👏👏👏👏
@Bruhhhhhhhhhhhhhhhhhhhhhh2 жыл бұрын
3:05 "four SQUARED plus two SQUARED plus negative one squared" lol im dying and good vid overall
@missghani86463 жыл бұрын
can't thank you enough for this clear explaination
@ayazohdy62215 жыл бұрын
Professor Dave explains 😂💕
@JoseLopez-op7sq3 ай бұрын
A lot of good information in one short video; good overview.
@apythonprogrammer78773 ай бұрын
This really helped me understand LLM model quantization just a tiny bit better
@banderallogmany19123 жыл бұрын
3:52 I didn't get how the length becomes 1!
@rodab35464 жыл бұрын
you explain so good
@user-qv8mr8pe3i2 жыл бұрын
thanks for awesome explanations!!!
@adefisanadedotun7973 ай бұрын
Very understood Thank you
@janakamohotti2 жыл бұрын
Brilliant explanation!!! ❤️
@jainpravachan6503 жыл бұрын
Thanks sir.... wonderful lecture
@manishbhatia27243 жыл бұрын
Beautiful Explanation
@user-so7gh7gd4v4 ай бұрын
Amazing explanation
@kidatheart49753 жыл бұрын
I'm confused on the orthonormal part. There are 2 conditions for orthonormal vectors: (1) orthogonal; and (2) the length is 1. But the example on 2:56, the length is not 1 that negate the conditions of being an orthonormal. Can you please elaborate that part? Thanks
@criclal17873 жыл бұрын
Those vectors displayed at 2:56 are not orthonormal, we have converted them both to unit vectors and made them orthonormal thus.
@wealthy_concept13132 жыл бұрын
@@criclal1787 but if that's the case it means any vector can be converted to orthonormal at will ?
@MuffinsAPlenty Жыл бұрын
@@wealthy_concept1313 Any set of vectors can be "normalized" (meaning to make the lengths of all of the vectors 1). This does not, at all, change the angles between any of the vectors. The Gram-Schmidt Process (the next video in the playlist) shows us that any _linearly independent_ set of vectors can be made orthogonal without changing the span of the set. Taken together, given any basis, we can always find an orthonormal basis by first using the Gram-Schmidt process to make the basis orthogonal without changing its span, and then we can "normalize" the orthogonal set to make it orthonormal.
@Robert-gr1cl4 ай бұрын
such good explanations, thanks
@raihansk59715 жыл бұрын
Amazing!!.........Explaination is awesome.....
@mehuladhrit78833 жыл бұрын
Very nicely taught...
@jisaburo1983 жыл бұрын
EXCELLENT videos! Thank you so much
@tknam32782 жыл бұрын
This is perfect!
@blakeelzinga11683 жыл бұрын
Thank you for this video
@Dixxi912 жыл бұрын
Very good explanation, thank you
@colingillespie76353 жыл бұрын
The intro alone earns my like
@mona51123 жыл бұрын
Hello Professor and Thanks for your great explanations. I was wondering why do not we have something called orthonormal matrices ?? and think orthogonal matrices are more like orthonormal ones!! :))
@deathworld52535 жыл бұрын
Isn't orthagonality defined by having the dot product equal to null element in Euclidian space?
@yogsothoth21945 жыл бұрын
I think null just means nothing; or in mathematical terms 0 . So yeah you're probably right
@asifnahyankabir77472 жыл бұрын
Amazing Professor! One day if God wills I'll come to meet you!
@ManojKumar-cj7oj3 жыл бұрын
Inverse of orthogonal matrix = tranpose of matrix
@suvarnamanojsingh3 жыл бұрын
thanks that was helpful
@dgormley3 жыл бұрын
Please teach at my university.
@aniketgupta57503 жыл бұрын
Elaborate to some extent, I mean your beginning and laying down the foundation of the topic is good but should stretch it till good level. Atleast that's what I feel missing in your videos, do please consider this if you see this comment. By the way I love your videos from quantum numbers to biomolecules all are awesome.
@desrepeerc2062 жыл бұрын
3:23 Nice frankenbiting skills xD
@lamdawave2 жыл бұрын
Good video. One question: If a square matrix has orthogonal column vectors. its inverse is not equal to its transpose. what should we call this type of matrices?
@jds1894 жыл бұрын
what happened to the visuals clarifications? its been primarily plug and chug for most of linear algebra..
@umehmoses8118 Жыл бұрын
I love the professor 😁
@glennveniceaboy88763 жыл бұрын
your convention for magnitude of a vector is a bit confusing because the single bar on both sides is usually for absolute value, maybe you should've used double bars for it anyways, i learned a lot, thanks!
@carultch Жыл бұрын
Absolute value and magnitude of a vector have so much in common, they might as well use the same notation. I thought the double bars on both sides was completely unnecessary, when I was first introduced to the notation, after having become accustomed to just using the single pair of bars.
@mcalkis57712 жыл бұрын
Could someone elaborate on the weight functions? Is it just a correction factor so that a function can be orthogonal with respect to another?
@kryptoid25683 жыл бұрын
sir, the inner product notation reminds me of bra-ket notation
@rushdisami5146 Жыл бұрын
Finally I understood Orthogonality.🤖
@prakashraj45193 жыл бұрын
video on caley hamilton
@marcosramirez22782 жыл бұрын
I found this channel because of flat earth videos, never did I guess this man would save my math grade
@srinityapadma51253 жыл бұрын
Thank you so much Sir.../\
@user-iv4iy5rc1y8 ай бұрын
TE DUA
@kaanylmaz10082 жыл бұрын
eyw reis
@jaliyahkane51273 жыл бұрын
professor dave is an AI
@Gafa996Gaddisa5 жыл бұрын
Is Ortho Greek word which means , straight up?
@georgesimos49145 жыл бұрын
"ορθό-ς" is used for other cases too; the one you say is one definition, but the one required for the concept of the video is "vertical"(an example is the mathematical expression "ορθή γωνία"="right angle")
@carultch Жыл бұрын
@@georgesimos4914 Even though I know that 3 out of 4 of the letters have completely different pronunciations, I instinctively read "ορθή" as "open". Even though I know it would sound more like "orthi".
@garyallen5385 жыл бұрын
Yeah but....what does this have to do with birds? (Sorry, couldnt resist!)