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angela210793Best ResponseYou've already chosen the best response.1
dw:1329489110068:dw
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
just so u know i sucked at linear algebra, no idea how i got an A lol
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
tht means u didn't....:P tht means ur talented :P
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
Oh it's that matrix multiplied n times...
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
hold on.. let me see if i can find anything
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
im trying to do this for general case... a,b,c,d
 2 years ago

Tomas.ABest ResponseYou've already chosen the best response.0
too bad only bahrom can help
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
ok..take ur time ^^
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
@Everyone if u want to help...feel free to do it
 2 years ago

saiberzBest ResponseYou've already chosen the best response.0
if n = odd it is the same matrix and if n = even it is the diagonal matrix
 2 years ago

phiBest ResponseYou've already chosen the best response.4
don't you diagonalize the matrix into A=SDS^(1) and then A^n= S D^n S^1
 2 years ago

saiberzBest ResponseYou've already chosen the best response.0
i meant identity matrix (no just diagonal)
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
@Saiberz why is it the same??? for n=2 i got 1 0 0 1 @Phi wht is SDS??? O.o
 2 years ago

saiberzBest ResponseYou've already chosen the best response.0
then even = matrix and odd = same
 2 years ago

nenadmatematikaBest ResponseYou've already chosen the best response.0
dw:1329490024595:dw
 2 years ago

phiBest ResponseYou've already chosen the best response.4
eigenvectors and eigenvalues. You did not get that far. But this is a special case saiberz has the answer
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
wait this is eigenvectors?
 2 years ago

phiBest ResponseYou've already chosen the best response.4
you alternate between A and I
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
wht is/are eigenvectors????????? O.o
 2 years ago

nenadmatematikaBest ResponseYou've already chosen the best response.0
dw:1329490292192:dw
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
lol good question, my prof never managed to cover that
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
@Nenad i don't get it at all :S
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
he's row reducing the matrix
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
nenand, can you do that in here and still have the same answer?
 2 years ago

nenadmatematikaBest ResponseYou've already chosen the best response.0
dw:1329490445758:dw
 2 years ago

nenadmatematikaBest ResponseYou've already chosen the best response.0
now do the inverse of T, and multiply these matrices and you'll get A^n....if you'd like to check the result plug in n=1 and you'll get A^1=A...the matrix you started with :D this is the basic method for finding A^n using eigenvalues and vectors...:D
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
ohh well, sorry angela, i got to like n=3, it looks crazy and we never even covered eigenvalues and eigenvectors (told ya i sucked at lin algebra)
 2 years ago

StArAnGeLBest ResponseYou've already chosen the best response.0
@nenad where did lambda come from ?
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
@Nenad ur making me feel soooooo stupid :S i'm not getting it at all @Bahrom nvm :) thnx for trying :))))))))) Thank you everyone :)))
 2 years ago

nenadmatematikaBest ResponseYou've already chosen the best response.0
I don't know how can I explain it to you like this....I don't know any other way except using this method :(
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
nenand eigenvectors are covered all the way at the end of lin algebra... we didnt even get there. Let's think about this more.. maybe theres a shortcut
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
angela is this from a textbook?
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
wht r these famous eigenvectors..this is the first time i've heard these...
 2 years ago

nenadmatematikaBest ResponseYou've already chosen the best response.0
well we used to this at my faculty with matrices 3 times 3, and I think we didn't use any other method....
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
my homeworks :((((
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
well is the hw from some textbook? If it is, post the author, title, edition, and the page# and number of the problem
 2 years ago

StArAnGeLBest ResponseYou've already chosen the best response.0
I would like to know what are Eigenvectors & Eigenvalues ?
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
do u know albanian Bahrom???? tht would be great title:''matematika per fakultetin e ekonomise,algjebra lineare dhe analiza matematike'' authors:''Thoma Mitre,Omer stringa,bashkim ruseti'' :P
 2 years ago

phiBest ResponseYou've already chosen the best response.4
This problem is just a special case. They want you to multiply it A*A to find you get I (identity). Then multiply again A*A*A= I*A= A, to get A, then multiply again A*A*A*A= I*I=I, and so on answer: n even I n odd A
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
i should've just tried to multiply this actual product, not the freakin general abcd case..
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
ok how abt dw:1329491265305:dw
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
that's also identity.. i think cuz u'll get Cos^2 and Sin^2..
 2 years ago

phiBest ResponseYou've already chosen the best response.4
if you know your trig identities A*A gets you [ cos 2x sin2x ] [ sin 2x cos 2x ]
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
oh yes i know...i had multiplied sinx with cosx instead of sinx... thanks :)
 2 years ago

phiBest ResponseYou've already chosen the best response.4
to keep going we need to use cos(A+B)= cosA cosB  sinA sinB where A= n*x and B= x this allows us to find cos( (n+1)x)= cos(nx) cos(x)  sin(nx)sin(x) also sin(A+B)= sinA cosB + sinB cosA so sin ( (n+1)x)= sin(nx) cos(x) + sin(x) cos(nx)
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
:O:O OMG!!! Can i have ur brain just for one semester pleaseeeee :(((((((
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
lol phi wanna swap brains? well actually i want to keep mine hahaha, though u are better than me at math..
 2 years ago

angela210793Best ResponseYou've already chosen the best response.1
i love my brain cause i got so much information in there....but when it comes to math....it doesn't work :P
 2 years ago

bahrom7893Best ResponseYou've already chosen the best response.3
hahaha lol yea.. i feel the same way when it comes to certain problems lol
 2 years ago
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