Let AAA be a 3×33 \times 33×3 matrix with tr(A)=6,tr(A2)=14,tr(A3)=36\text{tr}(A) = 6, \text{tr}(A^2) = 14, \text{tr}(A^3) = 36tr(A)=6,tr(A2)=14,tr(A3)=36. Find the sum of the squares of the eigenvalues of AAA.
141414
363636
666
202020