I am doing an assignment on Groups of Linear Transformations. Here is a defnition with regards to n-fold compositions:
"Let $T \in \mathcal{L}(V)$ denote the n-fold compositions of $T$ with itself as $T^{n}$. For instance, the two-fold composition, $T\circ T$ is denoted $T^{2}$. Let $T^{-n}$ denote the n-fold composition of $T^{-1}$."
So, with the above definition in mind, $T^{1}$ is just T, but what would $T^{0}$ yeild?