1. The problem statement, all variables and given/known data If T is a linear transformation, proof that Tn is a linear transformation (with nEN). 2. Relevant equations I know that T is a linear application if: T(u+v) = T(u) + T(v) T(au) = aT(u) 3. The attempt at a solution Actually I don't know how to start using these two affirmations. Can anyone help me with it? I know how to do this when it has numbers, but then it comes to these kind of proofs, I don't know how to do this.