Lec 22 | MIT 18.06 Linear Algebra, Spring 2005

[dprincess359]

Seriously, when will I use this in real life?

[ziatco]

@dprincess359 at the exam, whore !

[gomunkul]

@dprincess359 If you are not an Engineer nor a Scientist nor a Mathematician, probably never.

[noorceen]

thank you :))

you are amazing

[valadyr2]

Wow... This eigenvalue approach to the Fibonacci sequence was really nice!

[RoxyAmadaps621]

hiya komme aus deutschland

[kaseybella05]

this is awesome

[KPGorKFC]

I wish my professor come to your lecture first.

[akhil089]

thanks professor gilbert

[Mohamed1992able]

a big thanks tothis prof for his efforts to give us cours about linear algebra

[HindusAndACzech]

Bravo!!! Very much the best and premium stuff.

[lolololort]

Holy crap: Just mapled 1/2*(1+sqrt(5)) and it's goddamn 1.6180.

This guy is a genious

[phobbs4]

@lolololort

1/2(1 + sqrt(5)) is also the golden ratio! Math is amazing =] I'm sure the professor knew the answer and didn't calculate it in his head on the spot.

[hypnoticpoisons]

it looks like 1,2,3,4,5 but somehow it doesn't...

[ycao19]

The example of Fibonacci sequence is very nice!

[hypnoticpoisons]

@ycao19 yes indeed!

[LAnonHubbard]

I've only just learnt about eigenvalues and eigenvectors from KhanAcademy and Strang's Lecture 21 so a lot of this went whoooosh over my head, but managed to find the first 20 minutes useful. Hope to come back to this when I've looked at differential equations (which AFAIK are very daunting), etc and understand more of it.

[pelemanov]

@LAnonHubbard You don't really need to know about differential equations to understand this lecture. Just watch lessons 1 to 20 as well ;-). Takes you only 15h :-D.

[browno26]

@pelemanov you can watch in 2x speed qwoww

[worzelhund]

thank you, im from germany and our professor sucks.

[Paracetamolchild]

did this guy do the voice for the T-rex in toy story?

[aattoommmmable]

the lecture and the teacher of my life!

[aattoommmmable]

the lecture and the teacher of my life!

[PhilOrzechowski]

when he does the fibonacci example, why does he add in the line F(k+1) = F(k+1)...i understand he is a god to everybody but me but he does many many things without explaining why or how. i'm baffled how he is considered god when he leaves so many things out of the lecture.

[kebabsallad]

@PhilOrzechowski , he says that he just adds it to create a system of equations.

[mospehraict]

@PhilOrzechowski he does it to make first order difference equations system out of second order

[roverotto]

Amazing! he's a good Professor.

[alquiora]

mistake at 32:42

[blankety345]

yeah! the golden ratio!

[thibaud1300]

Standing Ovation!

[eroicawu]

It's getting more and more interesting when differential equations are involved!

[Aaroenz0r]

u-u-u-uh, lol why You put that in the subtitles?

[5440orfightpolk]

Professor Strang is a god among mere mortals.

[albertacristie99]

This is magnificiant!! I have no words to express how thankful I am towards the exposure of this video

[desmondseah]

cuinuc you are right..

[zionen01]

Great stuff. I was able to do my homework with this lecture. I will definitely be getting Strang's book.

[cuinuc]

I love professor Strang's great lectures.

Just one small correction at 32:30: It should have been S * LAMBDA^100 * c instead of LAMBDA^100 * S * c.

[cecilimiao]

@cuinuc

I think they are actually the same, because LAMBDA is a diagonal matrix, you can have a try.

[berkeley73]

@cecilimiao

They're not necessarily the same. cuinuc is right.

[mjklable]

Isn`t Ax an eigenvector for lambda for A^2?

[Shazaaming]

The positive eigenvalue of the Fibonnacci Matrix 1/2(1+sqrt(5)) is the golden ratio, phi.

Didn't see that coming, but makes sense if you think about it.

[iwalkedonthesun]

You are the best Professor in the whole world!

[dennisyangji]

A great lecture showing us the wonderful secret behind linear algebra

[ostrorawr]

Thank you so much for this.

[clauclauification]

OMG! Awesome. THANK YOU!!!!!!!

[Gurrataxxx]

awesome!! Greetings from Peru

[syzforever]

Much better thant our teacher.....

[praduk]

Fibonacci numbers being solved for as an algebraic equation with linear algebra was pretty cool.

[mpandurov]

tnx for sharing this