A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

let A= (4 -3 1 2 -1 1 0 0 2) a)find all eigenvalues of A. b) for each of the eigenvalues of A find the corresponding eigenspace, and give a basis for each eigenspace. ... i mostly know how to do all of this just not sure on the basis part... any help ? im pretty sure the eigenvalues are 2,2,1?

  • This Question is Closed
  1. anonymous
    • 5 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    btw A is a 3x3 matrix if you cant tell :S

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

    hey

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

    hello

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

    you familiar with paul's online notes

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

    yep

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

    nice

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

    i totally agree with your comments on college

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

    as far as paying 40 k to teach yourself, lol. ironic huh

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

    got about 10 tabs opened up but very boring to read and im not very good at reading a bunch of boring stuff lol for that id be able to just read a textbook :S i have add...short attention span ftl

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

    paul is boring? hes better than a text book in some sense

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

    and yep definitely but...makes for a nice degree lol

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

    i think the future is teaching yourself, since we're doing it anyway

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

    as in, online supplements like khan academy and pauls notes

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

    uhh yea idk i find it to be a bit bleh maybe more because i have... about 10 tabs of it opened that im trying to learn at once and skim through to find what i actually need to re-teach myself lol

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

    paul is a fluttering genius. but just with calculus and linear algebra. where are is his probability notes, lol

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

    oh cmon, he has all the examples done out

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

    you want to do the eigenspace whachamakallit?

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

    lol yes

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

    alright, one sec

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

    we’re going to start with a square matrix A and try to determine vectors x and scalars so that we will have,

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

    scalar lambda such that A x = lamda * x

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

    so in other words, multiplying the vector x by A is equivalent to multiplying the vector x by some scalar like 2 or 3 . remember x is a column vector, A is a square matrix, and they have to be defined

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

    so its like multiplying A by x is lengthening the arrow of x or dilating it

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

    x is the eigenvector, and lambda the scalar is the eigenvalue

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

    ok for the beginning im aware you subtract lambda I from the original matrix A then you take the determinant of that and set it = to 0 to find the eigenvalues of A

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

    yes

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

    then you plug in each eigenvalue into the A-lambda I but then what do you do for the basis after that? the way i was taught was marked wrong on the worksheet i have

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

    what i had done is i REF the matrix after i plugged in the eigenvalue then i took thecolumn with leading non-zero terms... the only thing i can think of is maybe i had to take that column but from the original matrix?

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

    we did A x = lambda I * x lambda I x - A x = 0

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

    why not RREF ?

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

    not necessary cuz you end up with 2 -3 1 and 2 rows of 0

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

    also not possible

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

    well not for the eigenvalue of 2 i didnt try 1

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

    1 you end up with 1 - 1 0 for the first row second row is 0 0 1 and then a row of 0s

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

    i know how to find the basis of the kernal...basis of the range... but not sure on just the basis of the eigenspace lol

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

    ok thats ok a row of zeroes is fine brb, 10 minutes

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

    kk

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

    kk im off to bed for the night ty anyway

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

    ok

  40. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

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.