Find the matrix A' for T relative to the basis B'. T: R³ → R³, T(x, y, z) = (x − y + 2z, 2x + y − z, x + 2y + z), B′ = {(1, 0, 1), (0, 2, 2), (1, 2, 0)} A¹ = J

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
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Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 17CM
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Find the matrix A' for T relative to the basis B'.
T: R³ → R³, T(x, y, z) = (x − y + 2z, 2x + y − z, x + 2y + z), 8′ = {(1, 0, 1), (0, 2, 2), (1, 2, 0)}
A¹ =
O
>
Transcribed Image Text:Find the matrix A' for T relative to the basis B'. T: R³ → R³, T(x, y, z) = (x − y + 2z, 2x + y − z, x + 2y + z), 8′ = {(1, 0, 1), (0, 2, 2), (1, 2, 0)} A¹ = O >
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