LetS: R³ → R³linear transformation with correspondence ruleS(α, β, γ) (2α, -β+ γ, 3γ)and T:P2→ R3 whose correspondence rule isT(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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Answered: Let S: R³ → R³ linear transformation…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.