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Inner & outer products | Lecture 5 | Matrix Algebra for Engineers 

Jeffrey Chasnov
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Definition of an inner and outer product of two column vectors.
Join me on Coursera: imp.i384100.net/mathematics-f...
Lecture notes at www.math.ust.hk/~machas/matrix...
Paperback at www.amazon.com/Matrix-Algebra...
Subscribe to my channel: ru-vid.com?...

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8 июл 2018

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Комментарии : 132   
@ProfJeffreyChasnov
@ProfJeffreyChasnov 4 года назад
Find other Matrix Algebra videos in my playlist ru-vid.com/group/PLkZjai-2Jcxlg-Z1roB0pUwFU-P58tvOx
@stearin1978
@stearin1978 3 года назад
It would be nice to write here Inertia tensor in the form Sum (x^Tx) I - xx^T. Both 2 products in one basic physical entity. Nice video anyway.
@harsh_rana
@harsh_rana 3 года назад
thanks sir I am from India i need to know about inner and outer multiplication during programming you helped me very well once again thank you sir
@MONKEYDUDE2701
@MONKEYDUDE2701 4 года назад
man this is quality teaching here. you my friend can call you a teacher unlike a lot of other "teachers"
@spontaneousbagpacker9447
@spontaneousbagpacker9447 4 года назад
This clears a lot of my doubts as I am learning SVM kernels. Thanks Jeff!!
@alimurad5312
@alimurad5312 3 года назад
So helpful. Thank you for making such high quality lectures available to everyone. Much appreciated.
@karam3045
@karam3045 3 года назад
Dont think there is a better teacher than this, thank you.
@rationalistfaith
@rationalistfaith 5 лет назад
Good stuff and love the format! Thank You!
@theman2449
@theman2449 Год назад
High quality lectures that are short, easy to understand, and can be applied to many situations. Thank you very much.
@mikejason3822
@mikejason3822 3 года назад
Clear, short and to the point. Thanks.
@dagraves
@dagraves 2 года назад
You are a great teacher. Totally textbook.
@LuciaSilva-ek3qr
@LuciaSilva-ek3qr 3 года назад
In this short video, very clear and helpful. Thanks a lot.
@allanshu177
@allanshu177 5 лет назад
really helpful! respected prof.
@chillynights4055
@chillynights4055 4 года назад
Thanks for clear informative video. Helped a lot
@saschaffer
@saschaffer 3 года назад
Thanks professor- great explanation.
@RestartUPSC2026
@RestartUPSC2026 4 года назад
Your explanation was awesome Sir!....
@danielgray8053
@danielgray8053 3 года назад
Thanks Jeffrey I really appreicate this series. I am taking graduate level Machine Learning class and have never taken linear algebra before. I know, stupid. I tired watching 3blue1brown's series which is a short 17 lectures series that is great was very interesting but not perfect for my needs. Than I tried watching the 144 video khan series on linear algebra. I got to video 32 lol. good, but once again not perfect for my needs. Thank god I found you! Perfect for what I need right now. Thanks so much I was feeling pretty helpless until I ran into this.
@tdpro3607
@tdpro3607 2 года назад
3b1b only focus on the irl uses and visualisation, as he states that there are already many resources out there that teach you how to compute things
@Leila0S
@Leila0S 2 года назад
I'm now in your same situation and did your same steps and thankfully I found this playlist and another channel's linear algebra playlist very satisfactory.
@kelvinmaina1189
@kelvinmaina1189 4 года назад
Thanks....very much i have understood the concept and your video is far much clear....if possible i would like to see your videos on solving problems in linear algebra and analytical geometry if you do present thanks
@zhuoyuelyu
@zhuoyuelyu 3 года назад
It's so clear, thank you so much!
@nikhilaryal
@nikhilaryal 3 года назад
Thanks Jeff, you're amazing!!
@alpsahin4340
@alpsahin4340 5 лет назад
Thanks Jeffrey!
@nikhilnarayane680
@nikhilnarayane680 4 года назад
thank you for that wonderful explanation..:D
@parsakei9006
@parsakei9006 2 года назад
This is such a great video thank you.
@hafidhrendyanto2690
@hafidhrendyanto2690 2 года назад
Thank you for this material, I am currently learning Matrix Factorization algo, its hard to understand it but it turn out Im just missing this fundamental concept about outer product.
@kiichitakeuchi
@kiichitakeuchi 4 года назад
Your coursera course was fantastic. Thank you!
@nature_through_my_lens
@nature_through_my_lens 2 месяца назад
Which one?
@hitesh_sewani
@hitesh_sewani Год назад
You saved me. Thanks for the to the point video.
@EllisAlcantara
@EllisAlcantara 3 года назад
You’re great. Thank you!
@Heroni66a
@Heroni66a Год назад
Chasnov is a really cool title for a maths teacher.
@sajithk9650
@sajithk9650 2 года назад
I like your way of presentation. It's as if you are enlightening as from abyss.
@29ibrahimsayed95
@29ibrahimsayed95 2 года назад
Very Beautifully Explained.
@Baron-digit
@Baron-digit 3 года назад
Well explained, thanks!
@ahmedmuhammed6905
@ahmedmuhammed6905 2 года назад
U just wrapped it up, thanks alot
@AJ-et3vf
@AJ-et3vf Год назад
Great video. Thank you
@Rudrazz
@Rudrazz 3 года назад
Awesome video
@ahmedelmattawaa5029
@ahmedelmattawaa5029 Год назад
Thank you very much this is very insightful and useful, are you by chance going to do algorithms?
@blueice1364
@blueice1364 4 года назад
Thank you so much.
@tadeletekeba13
@tadeletekeba13 5 лет назад
thank you so much
@JimmyXC234
@JimmyXC234 2 года назад
Good work.
@ndngdippchn
@ndngdippchn 5 лет назад
Thank-you
@xoppa09
@xoppa09 3 года назад
Thanks to the transpose operator, without qualifying further, a 'vector in R^n' is a column vector or nx1 matrix, and a 'row vector in R^n' or 1xn matrix would just be the transpose of the nx1 column vector.
@shreyaskumarm3534
@shreyaskumarm3534 2 года назад
Thank you so much
@eric5258
@eric5258 5 лет назад
How do you film these videos? I assume you're not actually writing backwards. Are you filming yourself from both the back and front and then overlaying the individual videos?
@ProfJeffreyChasnov
@ProfJeffreyChasnov 5 лет назад
Video is shot through the glass, and the software mirror reverses the writing.
@ccuuttww
@ccuuttww 5 лет назад
I would say this is linear transformation in linear algebra --- The reflection are u using left hand for writing?
@magmasceptre
@magmasceptre 5 лет назад
I think he just puts the camera on the other side of the glass pane and he would write on the other side. After which the video will be flipped left to right.
@Vicky-pb5hg
@Vicky-pb5hg 5 лет назад
You may wish to read about "Lightboard", invented by Prof. Michael Peshkin of Northwestern University.
@MONKEYDUDE2701
@MONKEYDUDE2701 4 года назад
bruh he just mirrors the whole Video bro.
@bilalabbad7954
@bilalabbad7954 2 года назад
Thanks a lot
@princesatartaruga444
@princesatartaruga444 3 года назад
Muito bom 👏👏👏
@Edioteditor
@Edioteditor 4 года назад
Thanks professor
@kevindave277
@kevindave277 2 месяца назад
Thank you so much, good man
@JulieIsMe824
@JulieIsMe824 5 лет назад
I bought your “ Matrix Algebra for engineers” on coursera and I found it so helpful!! Thank you so much! Can you do more intermediate/advanced matrix algebra courses?
@ProfJeffreyChasnov
@ProfJeffreyChasnov 5 лет назад
Thanks! I am working on a vector calculus course now. Maybe you can find other more advanced linear algebra courses on Coursera or EdX? Or on MIT open courseware?
@JulieIsMe824
@JulieIsMe824 5 лет назад
Jeffrey Chasnov Haha...I’m so excited you replied!!! Thank you so much for the advice!
@abhisheksahu616
@abhisheksahu616 5 лет назад
Thanks, am going to check this one now.
@subhashbhambhu8792
@subhashbhambhu8792 4 года назад
Hii
@maartjet6906
@maartjet6906 2 года назад
very helpful!
@user-gb6qw4yv7p
@user-gb6qw4yv7p 3 года назад
Great!!
@abhishek_sengupta
@abhishek_sengupta 3 года назад
Thanks!!
@ashutoshjha225
@ashutoshjha225 3 года назад
really helpful
@ASHNAY9
@ASHNAY9 3 года назад
Thanks🙏
@pearechen5111
@pearechen5111 3 года назад
super helpful
@NovaWarrior77
@NovaWarrior77 3 года назад
thanks!
@user-tr9be1jb7i
@user-tr9be1jb7i 2 года назад
Thanks well method
@xCarbon02
@xCarbon02 3 года назад
what if the transpose of V has multiple rows? How do we compute the outer product?
@eylmaz6696
@eylmaz6696 4 года назад
what is the system that you use here to explain the courses
@akshaankaware1787
@akshaankaware1787 3 года назад
I love how he just walks away at the end casually
@mauricioalfaro9406
@mauricioalfaro9406 2 года назад
Subscribed!
@RualddeBruyn
@RualddeBruyn 3 года назад
Thanks
@ccuuttww
@ccuuttww 5 лет назад
more topics?
@eldraco252
@eldraco252 4 года назад
jeff bezos is that you?
@zurzakne-etra7069
@zurzakne-etra7069 3 года назад
jeff bezoz (mr union buster) could never
@BrickBreaker21
@BrickBreaker21 4 месяца назад
Jeff Bezos is Walmart Jeff Chaznov
@shymaaabdelkhaleq7254
@shymaaabdelkhaleq7254 3 года назад
thanks
@ALIRAZA-zv5mn
@ALIRAZA-zv5mn 2 года назад
what are the original and strong definition of inner product . can u guide me about this topic. sir,
@ytpah9823
@ytpah9823 3 года назад
cf. outer product vs. tensor product?
@jamessterling955
@jamessterling955 Год назад
Did you really learn how to mirror your writing? Excellent video, thank you!
@ProfJeffreyChasnov
@ProfJeffreyChasnov Год назад
ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-WB_CakqElQ0.html
@vanilin113
@vanilin113 4 года назад
It would definitely make sense to add the norm of the inner product = ||u|| ||v|| cos(alpha), where alpha is the angle between two vectors - a simple and clear geometric interpretation.
@ProfJeffreyChasnov
@ProfJeffreyChasnov 4 года назад
This comes early in my vector calculus class.
@alexandradobrescu8795
@alexandradobrescu8795 3 года назад
Thank you, Jeffrey! Could you please tell us how the outer product can be helpful in ML or, at least, indicate the video where you tackle this subject?
@fwsgsdg1977
@fwsgsdg1977 4 месяца назад
thx
@anshukalshyan5967
@anshukalshyan5967 Год назад
Besttt
@curtpiazza1688
@curtpiazza1688 4 месяца назад
Excellent teaching! 😂
@stefanosmitsios7694
@stefanosmitsios7694 2 года назад
what is that dot product tho?
@-error-404
@-error-404 10 месяцев назад
How can he write it like this
@davidmurphy563
@davidmurphy563 2 года назад
I'm trying to find the meaning to the outer product, the calculation is trivial but you tease that the matrix has low dimensionality. This is what i need to know but I can go through an entire engineering course just to know this one thing when I'm not an engineer... Anyway, was an excellent lesson, thank you.
@abboszaitov2093
@abboszaitov2093 3 года назад
Hello from Uzbekistan
@petelok9969
@petelok9969 3 года назад
Jeffery can we apply these rules to square matrices for example? Peter
@ProfJeffreyChasnov
@ProfJeffreyChasnov 3 года назад
This video is about column and row vectors.
@matgg8207
@matgg8207 2 года назад
did he actually have a glass in front?
@magdynasr6639
@magdynasr6639 3 года назад
what is said in hours is said in 9 minutes! thanks
@MrSidTaylor
@MrSidTaylor 4 года назад
That's fine for row and column vectors, but what would be the outer product of two 2X2 matrices?
@ProfJeffreyChasnov
@ProfJeffreyChasnov 4 года назад
It's only defined for vectors.
@MrSidTaylor
@MrSidTaylor 4 года назад
@@ProfJeffreyChasnov Would that be the tensor product?
@ProfJeffreyChasnov
@ProfJeffreyChasnov 4 года назад
@@MrSidTaylor Yes
@JVenom_
@JVenom_ Год назад
33 slides or 1 screen this is lit
@nat.serrano
@nat.serrano 4 года назад
why uTv becomes a 3,1 and uvT becomes a 3,3,...??
@RealLifeKyurem
@RealLifeKyurem 4 года назад
Nat Serrano vector and matrix multiplication are not commutative. u·v produces a scalar, because u^T is a 3×1 matrix, while v is a 1×3 matrix. (3×1)(1×3) = 1×1. So no, u·v doesn’t produce a 3×1 matrix. u×v produces a matrix, because u is a 1×3 matrix, while v^T is a 3×1 matrix. (1×3)(3×1) = 3×3.
@austinosogwin4121
@austinosogwin4121 3 года назад
he writes backwards so well lol
@bastienp7334
@bastienp7334 Год назад
Oh he is actually writing it all in mirror :)
@bastienp7334
@bastienp7334 Год назад
oooh no i guess the video is mirrored 🤯 if i were to do that i would actually write in mirror because it's more fun hehe
@ProfJeffreyChasnov
@ProfJeffreyChasnov Год назад
@@bastienp7334 ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-WB_CakqElQ0.html
@bastienp7334
@bastienp7334 Год назад
@@ProfJeffreyChasnov Hahaha thanks
@GarvitKhera185
@GarvitKhera185 5 лет назад
Are you left-handed or right-handed ?
@ProfJeffreyChasnov
@ProfJeffreyChasnov 5 лет назад
right
@OprichnikStyle
@OprichnikStyle 5 лет назад
too good to be true
@-long-
@-long- 4 года назад
check this ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-wCOuu0-o5YI.html
@abinayasivasamy4708
@abinayasivasamy4708 8 месяцев назад
Hope, am not the only person to suddenly see Jeff Bezos, and then realised.. Good teaching
@benafrem
@benafrem 4 года назад
Did anyone else mishear u2 as RU-vid 😂😂
@ericklestrange6255
@ericklestrange6255 4 года назад
0 intuition, just formulas yet useful
@bravo803
@bravo803 3 года назад
One Pen Man
@NikolaosLedZeppelin
@NikolaosLedZeppelin Год назад
how this guy writes that way ????!!!!
@leewilliam3417
@leewilliam3417 9 месяцев назад
Mmmm😊
@pete4043
@pete4043 Год назад
wow, Jeff Bezos teaching math
@cowmata8492
@cowmata8492 3 года назад
GG
@vanshajvidyan8458
@vanshajvidyan8458 2 года назад
Am I the only one who thinks he that he sounds like Yondu
@herbertwhite3665
@herbertwhite3665 2 года назад
how tf is this man writing this? he can write backwards??
@adamsterish
@adamsterish 4 года назад
thank you jeff bezos
@blueice1364
@blueice1364 4 года назад
I think all the white bald guys are named the same...
@ebramsaif3999
@ebramsaif3999 2 года назад
thanks
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