The eigenvectors of a transformation are the non-zero vectors that remain parallel to the original vector after the transformation. The eigenvalue is the scalar that gives you the vector (if you have a transformation A, a vector v and a scalar t --> Av=tv. t is the eigenvalue).
If I may be so bold as to suggest... could you please number the videos in each category or subject heading? That way if one doesn't catch some of the concepts in the current video, he can always go back successively until he gets to a point where he's comfortable and can again start moving forward. Much much appreciated. Thank you for everything that you do!
These videos would be so much more useful if we could tell which videos preceded them, as you say to do in the video itself. I have just been searching on Khan Academy for this video and the ones you way to watch before it, but I can't even find this one.
You must be searching manually on khanacademy then, which is a pretty terrible idea. If I were you, I'd just log in to khanacademy and write the name of this video into the big searchbox at the top of the page.
My prof said something about that, and no it does not make a difference except for negative signs. But since you're going to compute det(A - lambda * i) = 0 a lot of the time, the negative signs won't matter because the right hand side is 0 anyways
There's a reason why he's requesting it while still being grateful and not demanding it like he's entitled to it. The purpose of this video is to help other people learn linear algebra. It's just a mere suggestion that will help people cruise through the vids swimmingly without potentially skipping crucial lessons along the way.
I really appreciate the videos. I've got my Linear Algebra exam Monday for my first year Engineering, (Will be specifying in Chemical Engineering 2nd Year) and I can stress by saying thanks for uploading these awesome videos.
Wow, thank you so much for putting up these videos! You teach it much better than my lin alg prof, who never once explained the geometric meaning of eigenvectors/values
@imamnalog: One important, practical meaning is that Eigenvalues in the time independent form of the wave equation represent the binding energies of an electron in a Hydrogen atom at a given value called "n." This is in fact where we get the quantum numbers values for "n." They basically fall out of the Eigenvalue solutions.
While that would be useful, you might consider watching the videos on the Khan Academy website instead -- it even has a cool scoring system that just makes it more fun and motivating if you're the right type of person for that kind of thing -- where they are all listed in categories and sub-categories and in order.
Thank you very much for this video! It really helped to explain eigenvectors of transformations as those that are simply scaled by a scalar (i.e. the associated eigenvalue)! The rotation analogy of the 2D case really helps visualize it!
Hey, Sal, I couldn't find a lot of the linear algebra videos directly from the playlist. Have I made a mistake, or have some not been put in the playlist?
Just something I don't get. How do you deduce T(v)=lamnda*v - Av from T(x)=Ax ? Is there a difference between x and v? If not does it mean lamnda*v - Av = Av ? Is my question stupid?
X.M. Caucase , how did you identified "next video"? They're not numbered? I would like to get a list, but I don't figure it out. :( Can you help me, please? Thank you.
Oh, it's been a while now. I think the video I was talking about is "finding eigenvalues and eigenvectors examples". I don't remember if identified a "next video".
@HunterDX77M If you go to his website at khanacademy {dot} org then he has them in order and there is a link to the next video at the top of each video.
Gah! " 'I' before 'E' except after 'C' "! Yet another word that breaks this rule! I guess we should also add "except, apparentlie, for words that sound like they're invented in Germanie".
How I wish Khan Academy existed when I was a student in the late 60s early 70s.
shut up boomer
@@razoredge8284 😂😂😂😭😭😭
I can't imagine school without the internet
The eigenvectors of a transformation are the non-zero vectors that remain parallel to the original vector after the transformation.
The eigenvalue is the scalar that gives you the vector (if you have a transformation A, a vector v and a scalar t --> Av=tv. t is the eigenvalue).
I'm from brazil and I have a Russian linear algebra teacher who barely speaks portuguese, THANK GOD for Khanacademy!
"if this doesnt look familiar to you, i can jog your memory a little bit"... he read my freakin mind! love this guy.
has this guy been on the front cover of time magazine??
he fuckin should be.
If I may be so bold as to suggest... could you please number the videos in each category or subject heading? That way if one doesn't catch some of the concepts in the current video, he can always go back successively until he gets to a point where he's comfortable and can again start moving forward. Much much appreciated. Thank you for everything that you do!
Yes that would be helpful
So, an eigenvector is simply the vector that's scaled by the multiple that is also known as the eigenvalue.
These videos would be so much more useful if we could tell which videos preceded them, as you say to do in the video itself. I have just been searching on Khan Academy for this video and the ones you way to watch before it, but I can't even find this one.
You must be searching manually on khanacademy then, which is a pretty terrible idea.
If I were you, I'd just log in to khanacademy and write the name of this video into the big searchbox at the top of the page.
My prof said something about that, and no it does not make a difference except for negative signs. But since you're going to compute det(A - lambda * i) = 0 a lot of the time, the negative signs won't matter because the right hand side is 0 anyways
There's a reason why he's requesting it while still being grateful and not demanding it like he's entitled to it. The purpose of this video is to help other people learn linear algebra. It's just a mere suggestion that will help people cruise through the vids swimmingly without potentially skipping crucial lessons along the way.
I really appreciate the videos. I've got my Linear Algebra exam Monday for my first year Engineering, (Will be specifying in Chemical Engineering 2nd Year) and I can stress by saying thanks for uploading these awesome videos.
I guess you are a graduate now if so good luck
Wow, thank you so much for putting up these videos! You teach it much better than my lin alg prof, who never once explained the geometric meaning of eigenvectors/values
Thank you!!!! just started my several variable calculus and the lecturer explained this in under five secounds :P Now i get it!
Please Plz Plz :Provide index of ur lectures...plz.... they are so good.
You are the best math teacher I know. Keep up the good work.
@imamnalog: One important, practical meaning is that Eigenvalues in the time independent form of the wave equation represent the binding energies of an electron in a Hydrogen atom at a given value called "n." This is in fact where we get the quantum numbers values for "n." They basically fall out of the Eigenvalue solutions.
Thanks to this guy, I am fluent in Group theory, and Number theory.
Dear sir, you are really a big help...thanx...
I ❤ u,u r my real professor,my tuition fee should give u ,really!
Best expalanation of eigenvalues and eigenvectors upto date
Which previous video are you talking about??please help me
Right pace, clear, no waffle. Thanks
ot: what s/ware are you using - looks very effective
While that would be useful, you might consider watching the videos on the Khan Academy website instead -- it even has a cool scoring system that just makes it more fun and motivating if you're the right type of person for that kind of thing -- where they are all listed in categories and sub-categories and in order.
So what is the definition of an eigenvector and eigenvalue, something i could write in an exam please.
I felt quite intimated by these vectors name not able to grasp what they were. Thanks for such a quiet simple yet powerful explanation.
It's actually quite simpler than it sounds lol
@Lexorinox Yeah it's pretty bad huh? Are you going to Berkeley? This helps so much.
I swear I just go to class now just to talk. Thanks Khan!!!
Wow, that was so helpful.
Can you please make a video on Diagonalisation Theorem?
Cantor's Diagnalization Theorem?
Once again,many thanks for your videos you are doing a great job!
Hey.. Still there?
Thank you very much for this video! It really helped to explain eigenvectors of transformations as those that are simply scaled by a scalar (i.e. the associated eigenvalue)! The rotation analogy of the 2D case really helps visualize it!
Thanks for sharing!
Thank you for this intuitive explanation!
Awesome....thanks..it was helpful...
please please please do a video on principle component analysis
Hey, Sal, I couldn't find a lot of the linear algebra videos directly from the playlist. Have I made a mistake, or have some not been put in the playlist?
does it make a difference if its (A - lambda*i) instead of (lambda*i - A)?
Khan your everywhere! awesome!
Can anyone plz send the link to the video where he explains about the reflection about the line? Thanks!
thank you khan academy... I wonder how one can make this horrible stuff so simple n understandable...you are one of the best math n stats teachers
Can you put sound on these? it's hard to read and pay attention to what you're doing at the same time
Thanks, very helpful!
Finding it is your job. It's already a free video, I don't think the purpose of this video is to serve other's rights, just a helping tutorial.
its good to watch the whole thing, but the answer is at 4:45
if you go to his site everything is ordered by subjects and is in chronological order.
Ok . . . and what's the practical meaning of these eigenvalues in Schrodinger's equation ? ? ?
Sal, you got me man. Really appreciate your work.
hey salman sir thank you very much for providing us such a great platform. That was the best explanation i ever heard thank u you very much.
Could you please create video about Lie derivatives, Lyapunov function..all about nonlinear dynamical systems?
thank you
many many thanks again
Does an eigenvalue correspond to the slope of the spanning line? For example, the line he drew corresponding to lambda = 5 has a slope of 5 right?
Just something I don't get. How do you deduce T(v)=lamnda*v - Av from T(x)=Ax ?
Is there a difference between x and v? If not does it mean
lamnda*v - Av = Av ?
Is my question stupid?
Actually, the next video answered my question! xD
X.M. Caucase , how did you identified "next video"? They're not numbered?
I would like to get a list, but I don't figure it out. :(
Can you help me, please?
Thank you.
Oh, it's been a while now. I think the video I was talking about is "finding eigenvalues and eigenvectors examples". I don't remember if identified a "next video".
@@x.m.caucase7841 lolz
Didnt he draw the flipped version of V1 wrong? Or do i just understand it badly? Because its not in its span.
have you never heard of a playlist ma'am?
Sir is eigen vector and eigen space the same thing??
did you even watch the video..
I should be paying you 9K a year instead of my uni
if you want to know which video came first you just go to kanacademy org
@TheAncientScholar Thnx
@HunterDX77M If you go to his website at khanacademy {dot} org then he has them in order and there is a link to the next video at the top of each video.
@Lexorinox yupp
Gah! " 'I' before 'E' except after 'C' "! Yet another word that breaks this rule! I guess we should also add "except, apparentlie, for words that sound like they're invented in Germanie".
Why doesn't my lazy ass lecturer at uni explain things this simply..? >.>
He uses a whole lot of words and sentences just to explain something very simple. It’s frustrating.
possibly the best comment on this video...
hahahaha, agreed!
2+2=4.
Am I ready???
you first need to know 1 + 1 = 2
I can't take him seriously...he sounds too much like Sips!
Lin Alg Joke!
What do you call an eigen-sheep?
-
-
A LAMB! DUH!
you talk so fast
Well then after you learn the subject, make your own videos in non-bastardized English.