Let T : P;(R) → PĄ(R) be a linear transformation. If the matrix representation of T in the standard bases 3 = {1, x, x², x³, xª, x³} and y = {1, x, x², x³, xª} is 0 1 0 0 0 0 0 0 2 0 0 0 A= |0 0 0 3 0 0 0 0 0 0 4 0 0 0 0 0 0 5 then, using the change of coordinate matrix formula, find the matrix representation of T in the ordered bases: B' = {1, 1+x, 1+x+x², 1+x+x² +x*, 1+x+x² + r³ + x*, 1+x +x² +x³ + x* + x° } and y = {1, 2x, 3x², 4x³, 5xª}.

Let T : P;(R) → PĄ(R) be a linear transformation. If the matrix representation of T in the standard bases 3 = {1, x, x², x³, xª, x³} and y = {1, x, x², x³, xª} is 0 1 0 0 0 0 0 0 2 0 0 0 A= |0 0 0 3 0 0 0 0 0 0 4 0 0 0 0 0 0 5 then, using the change of coordinate matrix formula, find the matrix representation of T in the ordered bases: B' = {1, 1+x, 1+x+x², 1+x+x² +x, 1+x+x² + r³ + x, 1+x +x² +x³ + x* + x° } and y = {1, 2x, 3x², 4x³, 5xª}.

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter7: Eigenvalues And Eigenvectors

Section7.CM: Cumulative Review

Problem 6CM: Let T:R4R2 be the linear transformation defined by T(v)=Av, where A=[10100101]. Find a basis for a...

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