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Question Id : 17068 | Context : AMU MCA 2021
Let $T : P_2(x) \to P_2(x)$ be a linear transformation on vector space $P_2(x)$ (polynomials of degree $\le 2$ over $\mathbb{R}$) such that $T(f(x)) = \dfrac{d}{dx}(f(x))$. Then the matrix of $T$ w.r.t. basis ${1, x, x^2}$ is:

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