Let V, W, and Y be vector spaces.Suppose dim(V) dim(W) = dim(Y) = 2.=Let ("beta") be an ordered basis for V.Let ("gamma") be an ordered basis for W.Let ("zeta") be an ordered basis for Y.Suppose S is a linear transformation from V to W and that T is a linear trans-formation from W to Y.Remember that ToS is the function from V to Y defined by (TOS)(v) = T(S(v)).(a) Prove that To S is a linear transformation.(b) Prove that°[T • S] = [T]{[S]}.

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Answered: Let V, W, and Y be vector spaces.…

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.5: Basis And Dimension

Problem 69E: Find a basis for R2 that includes the vector (2,2).

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