eigenvalues/eigenvectors

starlight89

hi guys im wondering can someone help im trying to do a maths problem:
show (2,3,3) is an eigenvector of A= {-1 4 -2}
{-3 4 0}
{-3 1 3} and find the corresponding eigenvalue,
help would be really appreciated its driving me crazy every answer i get is wrong i no the eigenvalue is meant to equal 2 but i cant do it!!!

Thomas_S_Hunterson

How have you been trying to prove it so far?

A vextor, x is an eigenvector of a matrix A if for some scalar [latex]\lambda[/latex], [latex]A \bf{x} = \lambda \bf{x}[/latex]

LeixlipRed

Do you know how to calculate the eigenvalues firstly?

starlight89

thank you both for your reply, I found out that ther was a slight error in the question and the (2, 3, 3) was supposed to be transposed! so that it was:
(2)
(3)
(3) in finding this i was able to solve, thanks again!!!

RoundTower

some authors just write vectors like that (even if it was just a typo this time), mostly because they are lazy. so you will see this again. In general if you see a vector, expect that it is a column vector unless you have a good reason to believe otherwise.

starlight89

ah i didnt know that..thanks for the tip