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zonazoo
 3 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.
zonazoo
 3 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.

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

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

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

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

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

zonazoo
 3 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
 3 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
 3 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
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