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 0-2 0 -1 1 0 0 0 -1 B' = {(1, 1, 0), (2, 1, 0), (0, 0, 1)} A' = A = 000 300

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
Problem 33EQ
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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
0-2 0
-1
1 0
0
0 -1
B' = {(1, 1, 0), (2, 1, 0), (0, 0, 1)}
A' =
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 0-2 0 -1 1 0 0 0 -1 B' = {(1, 1, 0), (2, 1, 0), (0, 0, 1)} A' = A = ↓↑
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