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'. 0-20 -1 10 0 0 1] B' = {(1, 1, 0), (2, 1, 0), (0, 0, 1)}

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 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'.
0-2 0
10
0 1
0), (2, 1, 0), (0, 0, 1)}
A' =
A =
-1
0
B' = {(1,
1,
00.7
007
↓↑
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'. 0-2 0 10 0 1 0), (2, 1, 0), (0, 0, 1)} A' = A = -1 0 B' = {(1, 1, 00.7 007 ↓↑
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