Ononot — Let T: P2 \to P2 be a linear transformation defined by T(p(x

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Let $T: P_2 \to P_2$ be a linear transformation defined by $T(p(x)) = p(x) + p'(x)$ , where $P_2$ is the space of polynomials of degree at most $2$ . What is the matrix representation $[T]_B$ of $T$ with respect to the standard basis $B = \{1, x, x^2\}$ ?