For the operator T on R3 defined by T(x, y, z) = (x - y, 2x + 3y + 2z, x + y + 2z), all eigenvalues and a basis for each eigenspace as
1
λ1 = 1, (1, 1, -1); λ2 = 2, (2, 2, -1); λ3 = 3, (1, -2, -1)
2
λ1 = 1, (1, 0, -1); λ2 = 2, (2, -2, -1); λ3 = 3, (1, -2, -1)
3
λ1 = 1, (1, 0, 1); λ2 = 2, (2, -2, 1); λ3 = 3, (1, -2, -1)
4
λ1 = 1, (1, 0, -1); λ2 = 2, (2, 2, -1); λ3 = 3, (1, -2, 1)