Let V be a finite-dimensional vector space over \( \mathbb{R} \) with \( \dim(V) = 6 \) , and

let \( T: V \to V \) be a linear transformation such that \(\dim(R(T)) = 4 \)  and \( \dim(N(T^2)) = 3 \). 

 \( \dim(R(T^2)) \) , the dimension of the range of \( T^2 \) is