??????? 4. Let ( T: mathcal{P}_{2} ightarrow mathcal{P}_{2} ) be defined by ( T(p(x))=2 p(x)+x frac{d}{d x} p(x) ). You may assume that (

??????? 4. Let \( T: \mathcal{P}_{2} \rightarrow \mathcal{P}_{2} \) be defined by \( T(p(x))=2 p(x)+x \frac{d}{d x} p(x) \). You may assume that \( T \) is a linear transformation. (a) Specify the standard ma 2 answers