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Finding eigenvectors: Can some just show me the steps to find the eigenvector of the following matrix, with (lambda)=2.
Matrix is given below.
 one year ago
 one year 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.
 one year ago
 one year ago

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

brinetheryBest ResponseYou've already chosen the best response.0
I 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.
 one year ago

zzr0ck3rBest ResponseYou've already chosen the best response.3
first do A  bI where b is some constant variable and I is the identity matrix
 one year ago

zzr0ck3rBest ResponseYou've already chosen the best response.3
so [1b,2,1;3,b,1;3,2,3b]
 one year ago

zzr0ck3rBest ResponseYou've already chosen the best response.3
understand? b is your lamda
 one year ago

zonazooBest ResponseYou've already chosen the best response.0
yes, 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.
 one year ago

zzr0ck3rBest ResponseYou've already chosen the best response.3
o sorry you labda is given
 one year ago

zzr0ck3rBest ResponseYou've already chosen the best response.3
you have your lambda its 2
 one year ago

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

zzr0ck3rBest ResponseYou've already chosen the best response.3
so solve for the null space of that equation
 one year ago

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

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

zonazooBest ResponseYou've already chosen the best response.0
ahhh, got it, okay... i see where i went wrong, thank you for the help
 one year ago
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