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I have the the system of differential equations matrix
{{3, 1,-1}, {-1, 1, 1}, {0, 0, 2}}.
I know the eigenvalue is 2 repeated thrice, but I'm a bit lost with finding the eigenvectors. I know from (A-landaI)u=0 you end up with the relation
x+y-z=0
But that's where I get stuck and don't understand how I proceed to get all the eigenvectors. I can't find any resource that explains this in depth.
