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4) Let : R³ → R[t]<2 be the linear map that sends 4(e₁)=t+t² 4(e₂) = 1-t 4(e3) = t Write the matrix of the complexified map yc : C³ → C[t]2 with respect to the complexified standard basis of both vector spaces.

4) Let : R³ → R[t]<2 be the linear map that sends 4(e₁)=t+t² 4(e₂) = 1-t 4(e3) = t Write the matrix of the complexified map yc : C³ → C[t]2 with respect to the complexified standard basis of both vector spaces.

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Linear Transformations
Section6.3: Matrices For Linear Transformations
Problem 52E: Let T be a linear transformation T such that T(v)=kv for v in Rn. Find the standard matrix for T.
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4) Let 4: R³ → R[t]<2 be the linear map that sends Y(e₁) = t + t² 4(e₂) = 1-t 4(e3) = t Write the matrix of the complexified map yc : C³ → C[t]<2 with respect to the complexified standard basis of both vector spaces.
Transcribed Image Text:4) Let 4: R³ → R[t]<2 be the linear map that sends Y(e₁) = t + t² 4(e₂) = 1-t 4(e3) = t Write the matrix of the complexified map yc : C³ → C[t]<2 with respect to the complexified standard basis of both vector spaces.
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