Finding eigen vector using sym and solve

I am trying to find eigenvectors using the sym and solve functions: However solve only returns answers the all zero vector.

 % 
G = [6 -1; 2 3];
I = eye(2,2);
xx = sym('xx',[2,1]);
% eigenvalues are 5 and 4
eigvec = solve(G*xx==4*xx);

Answer 1

[Azzi Abdelmalek]

G = [6 -1; 2 3];
I = eye(2,2);
syms x
eigvec = solve(det(G-x*I)==0)