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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), B' = {(1, 0, 1), (0, 2, 2), (1, 2, 0)} 1 2/3 -1/3 1/2 4/3 8/3 A' = 0 -4/3 -2/3

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)} 1 2/3 -1/3 1/2 4/3 8/3 A' = 0 -4/3 -2/3

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.3: Orthonormal Bases:gram-schmidt Process
Problem 71E
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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), B' = {(1, 0, 1), (0, 2, 2), (1, 2, 0)} 1 2/3 -1/3 1/2 4/3 8/3 A' = 0 -4/3 -2/3
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), B' = {(1, 0, 1), (0, 2, 2), (1, 2, 0)} 1 2/3 -1/3 1/2 4/3 8/3 A' = 0 -4/3 -2/3
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