Suppose A is the matrix for T: R3 → R³ relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'. 1 2 A = 1 0 0 0 -1 B' = {(-1, 1, 0), (2, 1, 0), (0, 0, 1)} A' =

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 25CM: Find a basis B for R3 such that the matrix for the linear transformation T:R3R3,...
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Suppose A is the matrix for T: R3 → R³ relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'.
1 2
A =
1 0
0 0 -1
B' = {(-1, 1, 0), (2, 1, 0), (0, 0, 1)}
A' =
Transcribed Image Text:Suppose A is the matrix for T: R3 → R³ relative to the standard basis. Find the diagonal matrix A' for T relative to the basis B'. 1 2 A = 1 0 0 0 -1 B' = {(-1, 1, 0), (2, 1, 0), (0, 0, 1)} A' =
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