Consider the matrix A=(111111111)A = \begin{pmatrix} 1 & 1 & 1 \\ 1 & 1 & 1 \\ 1 & 1 & 1 \end{pmatrix}A=111111111. What is the spectral radius ρ(A)\rho(A)ρ(A)?
000
111
333
999