2. Consider the bases & = {1, t, t²} and B = {1+t, t+t², t2} for P2 and the linear transformation T: P2 P2 defined by T(p(t)) = t p'(t), where p'(t) is the derivative of p(t). Find [T], the E-matrix of T.

Elementary Linear Algebra (MindTap Course List)
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ISBN:9781305658004
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 16CM
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2. Consider the bases & = {1, t, t²} and B = {1+t,t+t², t²} for P2 and the linear transformation
T: P2 → P2 defined by T(p(t)) = t p'(t), where p'(t) is the derivative of p(t).
Find [T], the E-matrix of T.
similars
Transcribed Image Text:2. Consider the bases & = {1, t, t²} and B = {1+t,t+t², t²} for P2 and the linear transformation T: P2 → P2 defined by T(p(t)) = t p'(t), where p'(t) is the derivative of p(t). Find [T], the E-matrix of T. similars
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