Let S: R³ → R³ linear transformation with correspondence rule S(α, β, γ) (2α, -β+ γ, 3γ) and T:P2 → R3 whose correspondence rule is T(аx2 + bx + с) — (2а, b + с, Зс) a) Obtain the correspondence rule, if it exists, of S • T. b) State the domain and codomain of S o T.

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