Given 𝐵 = {1,𝑥,𝑥^2} a basis for 𝑃2. Determine the linear transformation for 𝑇: 𝑃2 → 𝑅, where 𝑇(1) = 1, 𝑇(𝑥) = 2, 𝑇(𝑥^2)= 3. Hence find 𝑇(5 − 3𝑥 + 2𝑥^2).
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