C54 2055 2021 EXCHD ts) Find the eigenvalues and unit eigenvectors of ATA and AAT. 1 1 1 0 A = 0 1 1 1 1 1 1 0 pts) Construct the singular value decomposition using A from problem 16 and verify that A equals UΣVT pts Use the decomposition to find a matrix B that is the best rank 1 approximation of A.

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.1: Eigenvalues And Eigenvectors
Problem 80E
Question
C54 2055 2021 EXCHD
ts) Find the eigenvalues and unit eigenvectors of ATA and AAT.
1
1
1
0
A = 0
1 1
1
1 1
1
0
pts) Construct the singular value decomposition using A from problem 16 and verify that A equals
UΣVT
pts Use the decomposition to find a matrix B that is the best rank 1 approximation of A.
Transcribed Image Text:C54 2055 2021 EXCHD ts) Find the eigenvalues and unit eigenvectors of ATA and AAT. 1 1 1 0 A = 0 1 1 1 1 1 1 0 pts) Construct the singular value decomposition using A from problem 16 and verify that A equals UΣVT pts Use the decomposition to find a matrix B that is the best rank 1 approximation of A.
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