Consider the 3×33 \times 33×3 matrix A=(111111111)A = \begin{pmatrix} 1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1 \end{pmatrix}A=111111111. What are the eigenvalues of AAA?
0,0,30, 0, 30,0,3
1,1,11, 1, 11,1,1
0,1,20, 1, 20,1,2
3,3,33, 3, 33,3,3