elative to the standard basis. Find the diagonal matrix A' for relative 1)}

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 7 relative to the basis B.
0
0
A'=
-1
-1
0
0-2
B'= {(1, 1, 0), (2, 1, 0), (0, 0, 1))
A =
NOO
Transcribed Image Text:Suppose A is the matrix for T: R3 R3 relative to the standard basis. Find the diagonal matrix A' for 7 relative to the basis B. 0 0 A'= -1 -1 0 0-2 B'= {(1, 1, 0), (2, 1, 0), (0, 0, 1)) A = NOO
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