A community for students.
Here's the question you clicked on:
 0 viewing
 2 years ago
Finding eigenvectors: Can some just show me the steps to find the eigenvector of the following matrix, with (lambda)=2.
Matrix is given below.
 2 years ago
Finding eigenvectors: Can some just show me the steps to find the eigenvector of the following matrix, with (lambda)=2. Matrix is given below.

This Question is Closed

zonazoo
 2 years ago
Best ResponseYou've already chosen the best response.0\[\left[\begin{matrix}1 & 2 & 1\\ 3 & 0 & 1\\ 3 & 2 & 3\end{matrix}\right]\]

brinethery
 2 years ago
Best ResponseYou've already chosen the best response.0I hated linear algebra and don't remember anything, but I will suggest Paul's online notes for these (just Google is). Also, if you can get your hands on a pdf copy of 'Elementary Linear Algebra' by Larson and Falvo.

zzr0ck3r
 2 years ago
Best ResponseYou've already chosen the best response.3first do A  bI where b is some constant variable and I is the identity matrix

zzr0ck3r
 2 years ago
Best ResponseYou've already chosen the best response.3so [1b,2,1;3,b,1;3,2,3b]

zzr0ck3r
 2 years ago
Best ResponseYou've already chosen the best response.3understand? b is your lamda

zonazoo
 2 years ago
Best ResponseYou've already chosen the best response.0yes, but I thought you used AbI=0, in order to find all the lambdas... and then use Ax=bx, in order to find the eigenvectors.

zzr0ck3r
 2 years ago
Best ResponseYou've already chosen the best response.3o sorry you labda is given

zzr0ck3r
 2 years ago
Best ResponseYou've already chosen the best response.3you have your lambda its 2

zonazoo
 2 years ago
Best ResponseYou've already chosen the best response.0and I have all three eigenvalues, but for some reason when i am calculating for the eigenvector, i am not getting the right answer

zzr0ck3r
 2 years ago
Best ResponseYou've already chosen the best response.3so solve for the null space of that equation

zonazoo
 2 years ago
Best ResponseYou've already chosen the best response.0and if i can see how to do it just for lambda = 2 , i can figure out the other two eigenvectors.

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0if I remember this right, you just plug in each lambda and solve (Ab_1*I)=0 (Ab_2*I)=0

zonazoo
 2 years ago
Best ResponseYou've already chosen the best response.0ahhh, got it, okay... i see where i went wrong, thank you for the help
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.