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angela210793 Group Title

@Bahrom

  • 2 years ago
  • 2 years ago

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  1. angela210793 Group Title
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    |dw:1329489110068:dw|

    • 2 years ago
  2. bahrom7893 Group Title
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    just so u know i sucked at linear algebra, no idea how i got an A lol

    • 2 years ago
  3. angela210793 Group Title
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    tht means u didn't....:P tht means ur talented :P

    • 2 years ago
  4. bahrom7893 Group Title
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    Oh it's that matrix multiplied n times...

    • 2 years ago
  5. bahrom7893 Group Title
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    hold on.. let me see if i can find anything

    • 2 years ago
  6. bahrom7893 Group Title
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    im trying to do this for general case... a,b,c,d

    • 2 years ago
  7. Tomas.A Group Title
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    too bad only bahrom can help

    • 2 years ago
  8. angela210793 Group Title
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    ok..take ur time ^^

    • 2 years ago
  9. angela210793 Group Title
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    @Everyone if u want to help...feel free to do it

    • 2 years ago
  10. saiberz Group Title
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    if n = odd it is the same matrix and if n = even it is the diagonal matrix

    • 2 years ago
  11. phi Group Title
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    don't you diagonalize the matrix into A=SDS^(-1) and then A^n= S D^n S^-1

    • 2 years ago
  12. saiberz Group Title
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    i meant identity matrix (no just diagonal)

    • 2 years ago
  13. angela210793 Group Title
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    @Saiberz why is it the same??? for n=2 i got 1 0 0 1 @Phi wht is SDS??? O.o

    • 2 years ago
  14. saiberz Group Title
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    then even = matrix and odd = same

    • 2 years ago
  15. saiberz Group Title
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    *ident matrix

    • 2 years ago
  16. nenadmatematika Group Title
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    |dw:1329490024595:dw|

    • 2 years ago
  17. phi Group Title
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    eigenvectors and eigenvalues. You did not get that far. But this is a special case saiberz has the answer

    • 2 years ago
  18. bahrom7893 Group Title
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    wait this is eigenvectors?

    • 2 years ago
  19. phi Group Title
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    you alternate between A and I

    • 2 years ago
  20. angela210793 Group Title
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    wht is/are eigenvectors????????? O.o

    • 2 years ago
  21. nenadmatematika Group Title
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    |dw:1329490292192:dw|

    • 2 years ago
  22. bahrom7893 Group Title
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    lol good question, my prof never managed to cover that

    • 2 years ago
  23. angela210793 Group Title
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    @Nenad i don't get it at all :S

    • 2 years ago
  24. bahrom7893 Group Title
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    he's row reducing the matrix

    • 2 years ago
  25. bahrom7893 Group Title
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    nenand, can you do that in here and still have the same answer?

    • 2 years ago
  26. nenadmatematika Group Title
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    |dw:1329490445758:dw|

    • 2 years ago
  27. nenadmatematika Group Title
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    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
  28. bahrom7893 Group Title
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    what's T?

    • 2 years ago
  29. bahrom7893 Group Title
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    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
  30. StArAnGeL Group Title
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    @nenad where did lambda come from ?

    • 2 years ago
  31. angela210793 Group Title
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    @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
  32. nenadmatematika Group Title
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    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
  33. bahrom7893 Group Title
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    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
  34. bahrom7893 Group Title
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    angela is this from a textbook?

    • 2 years ago
  35. angela210793 Group Title
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    wht r these famous eigenvectors..this is the first time i've heard these...

    • 2 years ago
  36. nenadmatematika Group Title
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    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
  37. angela210793 Group Title
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    my home-works :((((

    • 2 years ago
  38. bahrom7893 Group Title
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    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
  39. StArAnGeL Group Title
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    I would like to know what are Eigenvectors & Eigenvalues ?

    • 2 years ago
  40. angela210793 Group Title
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    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
  41. phi Group Title
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    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
  42. angela210793 Group Title
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    page no.16 :P

    • 2 years ago
  43. nenadmatematika Group Title
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    hahaha :D

    • 2 years ago
  44. bahrom7893 Group Title
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    OHHH phi LOL!

    • 2 years ago
  45. bahrom7893 Group Title
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    i feel stupid.. -_-

    • 2 years ago
  46. bahrom7893 Group Title
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    i should've just tried to multiply this actual product, not the freakin general abcd case..

    • 2 years ago
  47. angela210793 Group Title
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    ok how abt |dw:1329491265305:dw|

    • 2 years ago
  48. bahrom7893 Group Title
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    that's also identity.. i think cuz u'll get Cos^2 and Sin^2..

    • 2 years ago
  49. phi Group Title
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    if you know your trig identities A*A gets you [ cos 2x -sin2x ] [ sin 2x cos 2x ]

    • 2 years ago
  50. angela210793 Group Title
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    oh yes i know...i had multiplied -sinx with cosx instead of sinx... thanks :)

    • 2 years ago
  51. phi Group Title
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    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
  52. angela210793 Group Title
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    :O:O OMG!!! Can i have ur brain just for one semester pleaseeeee :(((((((

    • 2 years ago
  53. StArAnGeL Group Title
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    Lol angela

    • 2 years ago
  54. bahrom7893 Group Title
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    lol phi wanna swap brains? well actually i want to keep mine hahaha, though u are better than me at math..

    • 2 years ago
  55. angela210793 Group Title
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    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
  56. bahrom7893 Group Title
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    hahaha lol yea.. i feel the same way when it comes to certain problems lol

    • 2 years ago
  57. angela210793 Group Title
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    xD

    • 2 years ago
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