??????? 1. Let ( V=P_{2}(mathbb{R}) ). Determine whether the linear map ( T: V ightarrow V ) defined by ( T(f(x))=f^{prime}(x) ) is diagonalizable.

??????? 1. Let \( V=P_{2}(\mathbb{R}) \). Determine whether the linear map \( T: V \rightarrow V \) defined by \( T(f(x))=f^{\prime}(x) \) is diagonalizable. If so, find a basis of eigenvectors. 2 answers