Learning Objectives: 1) Given a vector, compute the orthogonal projection onto another vector This video is part of a Linear Algebra course taught by Dr. Trefor Bazett at the University of Cincinnati
Пікірлер: 18
@vocal.unrest5 жыл бұрын
This blew my mind and explained it way better than the textbook. Thank you!
@z.m.43313 жыл бұрын
Thank you for the clear explanation, you are the best "textbook companion" ❤
@DrTrefor3 жыл бұрын
You're very welcome!
@mostafaahmadi49982 жыл бұрын
Just beautiful and elegant. Incredible explanation. Thank you so much.
@duncanweakley75252 жыл бұрын
Love your enthusiasm as you explain, thanks for your content :)
@lukewood57512 жыл бұрын
Explained better than I've seen it elsewhere. I'd be interested to see you explain it in terms of inner product spaces as well. thanks for the great video
@anthonyalvarez9272 Жыл бұрын
Best explanation seen so far. Actually the goat
@hyperduality2838 Жыл бұрын
Affine projective geometry is dual to hyperbolic projective geometry. Infinite (affine, canonical or standard) is dual to finite (hyperbolic or non standard). Duality creates reality!
@SalehGoodarzian Жыл бұрын
Thank you very much. Such a great video, very helpful and educational. Best wishes to you
@muhammadarslanbhatti21394 жыл бұрын
beautiful
@manishajain60383 жыл бұрын
Hello Sir, I have one doubt why do we want that y = y^ + z? Is it coming from Pythagoras theorem, but that has to be square if we are using Pythagoras theorem? Am I missing some result that you are using here?
@luisbelgois21023 жыл бұрын
Because is a decomposition of y. y^ is the component of y in the u direction and z is the ortogonal component of y respect to u
@beetlesstrengthandpower18902 жыл бұрын
At the end x2 and x3 are given as vectors in the formula, but they are scalars right?
@youssefdirani2 жыл бұрын
You're right
@mortezakhoshbin3 жыл бұрын
Thanks alot.are the unit vector of spherical or cylendrical coordinates orthognal?
@Justkiddingbutuknow2 жыл бұрын
I've a question can u plz emplain to me why do we need to study orthogonal projection I mean what can we do with it??
@lucrece48369 ай бұрын
dont know if youre still asking but its a very crucial topic. Often we get a system of equation Ax=b, that cant be solved, since it overdetermined. this means, that b isn't in the column space of A. But as this occurs often, we can't be satified with no solution. So what we do is a projection of b on the columnspace and then solve x, thus obtaining not the exact but best possible solution available
@Darisiabgal75732 жыл бұрын
You always get such glowing compliments but I finally had to give up on your series. 1. Sometimes you talk incredibly fast, and you run your syllables together, i have to go back and rerun some sections 2 or three times over. 2. You cannot see skyblue markers on a white back ground. 3. You write so small that even on an IPAD a alpha looks like a plus, you hats look like your vector marks and in some cases the characters are so small I have to blow up the image. What that means if I am wasting alot of time trying to figure out what you are writing I'm not really understanding what you are saying particularly when you are rambling off stuff 100 MPH.