If AAA is a 3×33 \times 33×3 matrix with tr(A)=6\text{tr}(A) = 6tr(A)=6 and det(A)=11\det(A) = 11det(A)=11, and its eigenvalues are 1,2,31, 2, 31,2,3, what is tr(A2)\text{tr}(A^2)tr(A2)?
141414
363636
121212
111111