Working through some stuff I found on the web, I came across a notation that I haven't seen in my textbooks.
In this problem, $ T: P_4(\mathbb R)\rightarrow \mathbb R^4 $ is a linear transformation, and there's a formula given to define it. No problem there.
Then some questions follow, including:
- Write down a basis for $N(T)$.
- Write down a basis for $R(T)$.
My question is: What is meant by $N(T)$ and $R(T)$?