Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

elica85

find eigenvector for eigenvalue -2...

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. elica85
    Best Response
    You've already chosen the best response.
    Medals 0

    after i plug in the value, i have the matrix |dw:1334524320293:dw|

    • 2 years ago
  2. elica85
    Best Response
    You've already chosen the best response.
    Medals 0

    multiplied 1st row by 2 and add to second row, multiply 1st row by -2 and add to 3rd row... |dw:1334524445998:dw|

    • 2 years ago
  3. elica85
    Best Response
    You've already chosen the best response.
    Medals 0

    multiply second row by -1/2 and add to 3rd row... |dw:1334524531744:dw|

    • 2 years ago
  4. elica85
    Best Response
    You've already chosen the best response.
    Medals 0

    so now i have these equations v1+v2+2v3=0 -2v2+2v3=0 -6v3=0

    • 2 years ago
  5. elica85
    Best Response
    You've already chosen the best response.
    Medals 0

    i'm not sure what the vector is, if v3=0, then -2v2+2(0)=0 so v2 must be 0 also and then v1+0+0=0 would mean v1 is zero too, right?

    • 2 years ago
  6. myko
    Best Response
    You've already chosen the best response.
    Medals 0

    but that's what you wanted |A-I(Lambda)| =0

    • 2 years ago
  7. myko
    Best Response
    You've already chosen the best response.
    Medals 0

    just put any value, for example v3=a and find the other

    • 2 years ago
  8. elica85
    Best Response
    You've already chosen the best response.
    Medals 0

    well for other eigenvalues, i have vectors with nonzero values...ok, if i plug in 3for v3, the last equation wouldn't make sense. and the answer isn't 0 vector. the vectors i have for my other values are correct

    • 2 years ago
  9. phi
    Best Response
    You've already chosen the best response.
    Medals 2

    you should get a singular matrix the last row should be 0

    • 2 years ago
  10. myko
    Best Response
    You've already chosen the best response.
    Medals 0

    -2v2+2a=0 v2=a v1+v2+2v3=0 v1+a+2a=0 v1 = -3a eigenvector (1,1,3)

    • 2 years ago
  11. elica85
    Best Response
    You've already chosen the best response.
    Medals 0

    it doesn't have to be all 0

    • 2 years ago
  12. myko
    Best Response
    You've already chosen the best response.
    Medals 0

    @phi is right the matrix should be singular. So you made a mistake somewhere

    • 2 years ago
  13. myko
    Best Response
    You've already chosen the best response.
    Medals 0

    |A-I(Lambda)| =0

    • 2 years ago
  14. phi
    Best Response
    You've already chosen the best response.
    Medals 2

    remember you are solving det(A- lambda*I)= 0

    • 2 years ago
  15. elica85
    Best Response
    You've already chosen the best response.
    Medals 0

    i was taught the bottom left triangle has to be 0s.

    • 2 years ago
  16. elica85
    Best Response
    You've already chosen the best response.
    Medals 0

    so it would be the bottom left corner, and the values right above and to the right

    • 2 years ago
  17. myko
    Best Response
    You've already chosen the best response.
    Medals 0

    the determinant has to be 0

    • 2 years ago
  18. elica85
    Best Response
    You've already chosen the best response.
    Medals 0

    i've checked and checked to see if i made a mistake...i will look again

    • 2 years ago
  19. phi
    Best Response
    You've already chosen the best response.
    Medals 2

    what is the original matrix?

    • 2 years ago
  20. myko
    Best Response
    You've already chosen the best response.
    Medals 0

    i think your eigenvalue is wrong

    • 2 years ago
  21. elica85
    Best Response
    You've already chosen the best response.
    Medals 0

    ugh idiot i did do it wrong. value is right, i will rework this

    • 2 years ago
  22. myko
    Best Response
    You've already chosen the best response.
    Medals 0

    just trying to help

    • 2 years ago
    • Attachments:

See more questions >>>

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.