A community for students.
Here's the question you clicked on:
 0 viewing
elica85
 2 years ago
find eigenvector for eigenvalue 2...
elica85
 2 years ago
find eigenvector for eigenvalue 2...

This Question is Closed

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0after i plug in the value, i have the matrix dw:1334524320293:dw

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0multiplied 1st row by 2 and add to second row, multiply 1st row by 2 and add to 3rd row... dw:1334524445998:dw

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0multiply second row by 1/2 and add to 3rd row... dw:1334524531744:dw

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0so now i have these equations v1+v2+2v3=0 2v2+2v3=0 6v3=0

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0i'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?

myko
 2 years ago
Best ResponseYou've already chosen the best response.0but that's what you wanted AI(Lambda) =0

myko
 2 years ago
Best ResponseYou've already chosen the best response.0just put any value, for example v3=a and find the other

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0well 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

phi
 2 years ago
Best ResponseYou've already chosen the best response.2you should get a singular matrix the last row should be 0

myko
 2 years ago
Best ResponseYou've already chosen the best response.02v2+2a=0 v2=a v1+v2+2v3=0 v1+a+2a=0 v1 = 3a eigenvector (1,1,3)

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0it doesn't have to be all 0

myko
 2 years ago
Best ResponseYou've already chosen the best response.0@phi is right the matrix should be singular. So you made a mistake somewhere

phi
 2 years ago
Best ResponseYou've already chosen the best response.2remember you are solving det(A lambda*I)= 0

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0i was taught the bottom left triangle has to be 0s.

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0so it would be the bottom left corner, and the values right above and to the right

myko
 2 years ago
Best ResponseYou've already chosen the best response.0the determinant has to be 0

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0i've checked and checked to see if i made a mistake...i will look again

phi
 2 years ago
Best ResponseYou've already chosen the best response.2what is the original matrix?

myko
 2 years ago
Best ResponseYou've already chosen the best response.0i think your eigenvalue is wrong

elica85
 2 years ago
Best ResponseYou've already chosen the best response.0ugh idiot i did do it wrong. value is right, i will rework this
Ask your own question
Sign UpFind more explanations on OpenStudy
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
 Engagement 19 Mad Hatter
 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.