Linear Algebra: Introduction to Eigenvalues and Eigenvectors

[Pikanyaasan]

Think you can sometime do a video on how to find eigenvalues in differential equations?

[CogitoErgoCogitoSum]

My biggest problem with math education on youtube... is that if I want it in coherent English, its usually trivial fifth-grade material. If I want advanced subject matter, its in bastardized Hindiglish. I like Sal because he makes sense.

[rachmaniralf]

OMG!!!!!!! This guy is always saving my life!!!! I got through Single Variable Calculus, Vector Calculus, Differential Equations, and now Linear Algebra with this guy making things easier than my professors at my University ever could. That's usually because I can't understand thier accent in a large echo-y hall.

[linnaes]

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]

Ok . . . and what's the practical meaning of these eigenvalues in Schrodinger's equation ? ? ?

[TheAncientScholar]

@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.

[imamnalog]

@TheAncientScholar Thnx

[pmecan]

Lin Alg Joke!

What do you call an eigen-sheep?

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A LAMB! DUH!

[TreasuresOfTheLORD]

Thanks

[Remerai]

I'm grateful that you took the time to make these instructional videos. But seriously, I can not get my head around linear algebra. It's so difficult. Still, I have a test in 3 weeks. These videos help a bit.

[superjokerrr]

you talk so fast

[gorlum0]

@akj375: Just use their site now: playlists, videos' q&a (by people), exercises (not much yet), badges and even more. Pretty cool.

[13193579]

Its very nice and helpful to students those who are interested in algebra.

If we improve the picture quality(or font or color) then we can easily see them

[graei]

Why doesn't my lazy ass lecturer at uni explain things this simply..? >.>

[dauntSilver]

"if this doesnt look familiar to you, i can jog your memory a little bit"... he read my freakin mind! love this guy.

[akj375]

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!

[xcokeholic]

@akj375 you should go on his channel, and click his linear algebra playlist. It's in order.

[foosta5]

wow, you went to MIT and Harvard, Im blessed to have such a tutor!

[greeno123]

Thank you very much, I needed a simple explanation like this to help me get my head around the subject!!

[blackphosphor]

Khan your everywhere! awesome!

[vishalvisd4]

Dear sir, you are really a big help...thanx...

[CyberneticOrganism01]

Thanks, very helpful!

[galotalp]

please please please do a video on principle component analysis

[Lexorinox]

Anyone else using the book written by David C. Lay?

[shotcallerpat]

@Lexorinox Yeah it's pretty bad huh? Are you going to Berkeley? This helps so much.

[Lexorinox]

@shotcallerpat Cool university , Im only in my first year but later I definetely would like to go to America :D Thx (btw finished this linear algebra already :) )

[imadElghourani]

@Lexorinox  yupp

[HunterDX77M]

These videos are very helpful and I appreciate you putting them up. But can you make one slight improvement? Can you put links in the videos (through annotations) that links this video to the preceding one and the following one, so that we know what came before and what will follow? It is a little confusing to find out which videos came before or after one another. If not directly in the video, how about in the description? Thanks!

[imatwink]

@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.

[mufc4everch]

@HunterDX77M It's on the site



[vb4max]

thank you



[Karoke77]

2+2=4.

Am I ready???

[giriisindahouse]

@Karoke77 that's all that a person needs to master maths.

[taviona]

Wow, that was so helpful.

[irfaanfr1]

thanks!

[omarolocabe]

Awesome....thanks..it was helpful...

[oryxfreeride]

woulda been really really awesome if my linear algebra teacher could have taught me this in 7 minutes.

[MightyGoldenBoy]

Thank you!!!! just started my several variable calculus and the lecturer explained this in under five secounds :P Now i get it!

[yynotx]

i have studied this topic before, but have never gotten the idea of an eigenvector being invariate

under transformation--usually it's just discussed as mathematical anomaly--a vector whose directional information is unchanged by a matrix mult--of course these are equivalant--but the former has a geometric insght--thanks

[kuryba00]

Well done. Thanks!

[nhojmabon]

Thankyou Sal

[conormmmm]

Very well explained. Thank so much.

[dailydesi]

thanks very very much ,

[Seakros]

Once again,many thanks for your videos you are doing a great job!