Let T:R3→R3T: \mathbb{R}^3 \to \mathbb{R}^3T:R3→R3 be a linear transformation. If T(e1)=e2,T(e2)=e3T(e_1) = e_2, T(e_2) = e_3T(e1)=e2,T(e2)=e3, and T(e3)=e1T(e_3) = e_1T(e3)=e1, what is T2023(e1)T^{2023}(e_1)T2023(e1)?
e2e_2e2
e1e_1e1
e3e_3e3
0⃗\vec{0}0