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Mimi_x3

  • one year ago

i have problems with finding eigen vectors

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  1. Mimi_x3
    • one year ago
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    https://gyazo.com/355c33166a1edf8139c5331e6e525dc0

  2. Mimi_x3
    • one year ago
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    i get stuck here|dw:1439628997200:dw|

  3. Mimi_x3
    • one year ago
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    is there like a legitmate resource in finding eigen vectors

  4. Empty
    • one year ago
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    Crap it cut off your vector there on the equal sign

  5. Mimi_x3
    • one year ago
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    i feel as though i'm just guessing

  6. Empty
    • one year ago
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    I'm a legitimate resource bb

  7. Mimi_x3
    • one year ago
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    crap what

  8. Mimi_x3
    • one year ago
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    bb you're never there for me

  9. Empty
    • one year ago
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    |dw:1439629120440:dw|

  10. Mimi_x3
    • one year ago
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    IM UNDATEABLE APPARRENTLY

  11. Mimi_x3
    • one year ago
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    oh |dw:1439629144430:dw|

  12. Empty
    • one year ago
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    Shhhh I'm trying to help you eigenvectorsize

  13. Mimi_x3
    • one year ago
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    pls do... I have no idea with this course

  14. Mimi_x3
    • one year ago
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    |dw:1439629180128:dw|

  15. Empty
    • one year ago
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    Ok so first off, just multiply the vector with the first row of this matrix. What do you get?

  16. Mimi_x3
    • one year ago
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    -3iv1 = -3v2 v_1 = - iv_2

  17. Mimi_x3
    • one year ago
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    v_2 = iv_1

  18. Empty
    • one year ago
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    Perfect, so now we can plug this in to your vector (v_1, v_2) to get this: |dw:1439629321422:dw|

  19. Mimi_x3
    • one year ago
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    WAIT

  20. Mimi_x3
    • one year ago
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    isnt v_2 = iv_1

  21. Empty
    • one year ago
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    So your eigenvector is (-i, 1), and the v_2 is just an arbitrary constant showing you you can multiply your eigenvector by any constant. So now multiply your vector by i and see it desn't matter: |dw:1439629416364:dw|

  22. Mimi_x3
    • one year ago
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    omg you're a god

  23. Empty
    • one year ago
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    ;) yw bb

  24. Mimi_x3
    • one year ago
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    can you be here for me

  25. Empty
    • one year ago
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    i AM here 4 u

  26. Mimi_x3
    • one year ago
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    https://gyazo.com/57ff65da1ee195dad40b72621f15dca7

  27. Mimi_x3
    • one year ago
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    I don't get the formula for one real value

  28. Mimi_x3
    • one year ago
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    https://gyazo.com/cbb81b2511c7aa5f2042c6ddd3d3389f

  29. Mimi_x3
    • one year ago
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    what is that 1 I thing doing

  30. Empty
    • one year ago
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    Oh I don't know I need to solve it give me a sec unless you have something solved

  31. Mimi_x3
    • one year ago
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    |dw:1439629654953:dw|

  32. Mimi_x3
    • one year ago
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    the eigen vector

  33. Mimi_x3
    • one year ago
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    so now plugging into the formula which i don't get

  34. Empty
    • one year ago
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    so wait real fast you're asking: |dw:1439629691610:dw|

  35. Mimi_x3
    • one year ago
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    isn't that suppose to be 0 0

  36. Mimi_x3
    • one year ago
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    I'm asking how to plug into formula

  37. Mimi_x3
    • one year ago
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    https://gyazo.com/e5a65ed4111fcbcb257ed0465a3efaba

  38. Empty
    • one year ago
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    I don't know, I need to review it's been a while since I've done these so I kinda forget like minor stuff.

  39. Mimi_x3
    • one year ago
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    I have solution

  40. Mimi_x3
    • one year ago
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    which i don't get

  41. Empty
    • one year ago
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    what's that fancy 1, like I think it's a vector with two 1s in it? |dw:1439629848428:dw|

  42. Mimi_x3
    • one year ago
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    no idea

  43. Mimi_x3
    • one year ago
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    I HAVE NOT TAKEN MATHS FOR 2 years :((((

  44. Empty
    • one year ago
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    It's ok I'll help figure it out. I know that repeated eigenvalues are weird though, so you might just have to memorize this trick, I think you just multiply by t honestly they're making it look more complicated than it should be I think cause they're retarded

  45. Mimi_x3
    • one year ago
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    |dw:1439629912004:dw|

  46. Mimi_x3
    • one year ago
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    ok i get above^ just plugging in

  47. Mimi_x3
    • one year ago
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    |dw:1439629999156:dw|

  48. Mimi_x3
    • one year ago
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    I HAVE NO CLUE FOR THIS PART^

  49. Empty
    • one year ago
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    Ok I think I got it give me a sec I don't wanna tell you wrong stuff

  50. Mimi_x3
    • one year ago
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    ok

  51. Empty
    • one year ago
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    Ok ok, so now we can multiply to get: |dw:1439630308680:dw| I think that should work

  52. Mimi_x3
    • one year ago
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    yeah

  53. Mimi_x3
    • one year ago
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    but i don't get how u got to it

  54. Empty
    • one year ago
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    ok circle the steps that don't make sense

  55. Mimi_x3
    • one year ago
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    |dw:1439630519158:dw|

  56. Mimi_x3
    • one year ago
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    from here |dw:1439630544936:dw|

  57. Empty
    • one year ago
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    oh ok I forgot to include that! I realized that fancy 1 was the identity matrix: |dw:1439630629121:dw| then plugging in from there we have: |dw:1439630686461:dw| so that's what leads to this step here: |dw:1439630539112:dw| I kinda skipped some steps but circle anything else that bothers you so I can explain it more. ;)

  58. Empty
    • one year ago
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    I gotta go to sleep soon

  59. Empty
    • one year ago
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    gn bb xoxo

  60. Mimi_x3
    • one year ago
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    :( you left me

  61. Mimi_x3
    • one year ago
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    BUT THANK YOUUU LOVE U FOR LIFE

  62. Mimi_x3
    • one year ago
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    if you do come back

  63. Mimi_x3
    • one year ago
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    https://gyazo.com/2106cd0c4185f371f26e9a1ed67e7d0c i don't get this one

  64. phi
    • one year ago
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    It is not clear how to proceed other than "pattern match" \[ \dot{x}_1 =x_1+x_2\\ \dot{y}_1= y_2 \] and try \(y_2= x_1+x_2\) from which we get \( \dot{y}_2= \dot{x}_1+ \dot{x}_2\) also, the second equation is \[ \dot{x}_2 =-2x_1-x_2\] adding this to the first \[ \dot{x}_1 =x_1+x_2 \] we get \[ \dot{x}_1 +\dot{x}_2=x_1+x_2-2x_1-x_2 =-x_1 \] or, using our "guess" \[ \dot{y}_2= - x_1 \] which is consistent with \(y_1= x_1\) in other words, make the substitutions \[ x_1= y_1 \\ y_2= x_1+x_2 \rightarrow x_2= y_2 -y_1\]

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