For a 3×33 \times 33×3 matrix AAA with eigenvalues λ1=1\lambda_1 = 1λ1=1, λ2=2\lambda_2 = 2λ2=2, and λ3=1\lambda_3 = 1λ3=1, find tr(A)+det(A)\text{tr}(A) + \det(A)tr(A)+det(A).
222
444
666
888