Why does x2=x2 and x3=...+x3?
I still don't understand why the eigenvectors are [1,1,0] and [1,0,1] instead of [2,1,1] and [3,1,2] for example.
I am missing a key point here, and I really need your help.
Homework Statement
Given the matrix
1 1 1
-1 3 1
-1 1 3
x=3 is an eigenvalue and (1,1,1) is a corresponding eigenvector
x=2 is an eigenvalue of A of multiplicity 2
Find the eigenvector(s) corresponding to x=2
The Attempt at a Solution
(A-AI)=
-1 1 1
-1 1 1
-1 1 1...