  The nonzero and relatively large $\theta_{13}$ from the latest experimental
results have a serious implication on the well-known neutrino mixing matrix.
One of the well-known mixing matrix is tribimaximal (TBM) neutrino mixing
matrix which predict $\theta_{13}=0$. In order to accommodate nonzero
$\theta_{13}$ and CP violation, we modified TBM by introducing a simple
perturbation matrix into TBM matrix that can produces $\theta_{13}=7.89$ which
is in agreement with the present experimental results. The Dirac phase
$\delta=77.20^{o}$ and the Jarlskog rephasing invariant: $J_{\rm CP}\approx
0.044$ are also obtained. The obtained neutrino mass matrix from the modified
TBM with both nonzero $\theta_{13}$ and $\delta$ is the complex neutrino mass
matrix. If we impose the $\mu-\tau$ symmetry, as a constraint into neutrino
mass matrix,one find that the Jarlskog rephasing invariant: $J_{\rm CP}=0$
which implies that CP violation cannot be accommodated in the $\mu-\tau$
symmetry scheme.
