Linear algebra introduction

  Рет қаралды 25,092

Brant Carlson

Brant Carlson

Күн бұрын

Пікірлер: 24
@the-fantabulous-g
@the-fantabulous-g 4 жыл бұрын
Yo bless this prof he's singlehandedly saving my grades
@doit9854
@doit9854 4 жыл бұрын
I couldn't help but believe that I was learning math with Topher Grace.
@doit9854
@doit9854 4 жыл бұрын
I was just watching this video (again) and realized I've already watched it... because my dude here sounds like Topher Grace.
@someone20ify
@someone20ify 10 жыл бұрын
if this is intro then what is inside? O.o
@muddassirghoorun4322
@muddassirghoorun4322 4 жыл бұрын
Please confirm if answers for "Check your understanding" are 50 and 66
@the-fantabulous-g
@the-fantabulous-g 4 жыл бұрын
Yes
@rajupdl6
@rajupdl6 4 жыл бұрын
yes you are correct
@oraange
@oraange 4 жыл бұрын
you are right
@FlintPet
@FlintPet 4 ай бұрын
How did you get 66?
@the-fantabulous-g
@the-fantabulous-g 4 жыл бұрын
For Check Your Understanding, did anyone else get 26 and 66? Edit: Muddassir has it correct, it is 50 and 66. Work listed in comment below.
@muddassirghoorun4322
@muddassirghoorun4322 4 жыл бұрын
50 and 66
@anasfarid2492
@anasfarid2492 3 жыл бұрын
26 and 66
@jacobmoriarty2375
@jacobmoriarty2375 2 жыл бұрын
@@muddassirghoorun4322 40 and 66
@akashagnihotri2469
@akashagnihotri2469 3 жыл бұрын
I don't quite understand what's happening at 16:45, what exactly does delta-ij mean? If it's an orthonormal basis, isn't every vector orthogonal to each other, so every inner product = 0 (ie: = 0)?
@edubski3608
@edubski3608 3 жыл бұрын
I think it's the fact that he's writing x,y,z as unit vectors that gives way for an orthonormal basis. Not every vector is orthogonal to each other, that's why we use the Kronecker delta to represent. Assuming the vectors are normalized, this function will "filter" xj's that are orthonormal to xi's, from my understanding at least. It's very reminiscent of Fourier transforms, however we just started learning that in class so not sure how much help I can provide there. I'm pretty new to this subject so please correct me if I've made any errors! Cheers.
@akashagnihotri2469
@akashagnihotri2469 3 жыл бұрын
​@@edubski3608 I'll be honest, I understood very little of what you said but that's because I am pretty new to this myself. And I don't know what's a "Kronecker delta." I guess I have a long way to go but I did understand most of the video, so I think he's a really good teacher lol. But thanks for your help!
@edubski3608
@edubski3608 3 жыл бұрын
@@akashagnihotri2469 If you're trying to learn this subject, this series in particular follows the first three chapters from Griffiths' Intro To Quantum Mechanics, I would highly recommend you pick up a copy (2nd or 3rd edition, whichever is cheaper) used. As far as learning more about vector orthogonality, doing more research on inner products in particular along with fourier transforms, should provide you with some more background. Keep at it!
@turboleggy
@turboleggy 3 жыл бұрын
What if both the vectors are x1? A vector is not orthogonal to itself. We are othronomal basis so =1.
@edubski3608
@edubski3608 3 жыл бұрын
@@turboleggy I don't think I'm 100% sure on what you're asking, however it is correct to assume the inner product of x1 and x1 would be 1. You're basically asking how much of x1's state coincides with x1's state, which as we know, should be all of it.
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