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Consider the 4 x 5 matrix 1000 2 00300 0000 0 0 2 0 0 0 A singular value decomposition of this matrix is given by UEV 0 -1 0 0 M = U= E II V' = 3 0 0 0 - -1 00 0 0 0 0 0 -1 0 0 000 √5 0 0 0 0 200 0 000 0 √0.2 0 0 0.8 0 -100 0 -1 0 0 0-0.8 0 0 √0.2 0 0 0 0 1 00 Questions: (1) Singular Values: What are the singular values of M

Consider the 4 x 5 matrix 1000 2 00300 0000 0 0 2 0 0 0 A singular value decomposition of this matrix is given by UEV 0 -1 0 0 M = U= E II V' = 3 0 0 0 - -1 00 0 0 0 0 0 -1 0 0 000 √5 0 0 0 0 200 0 000 0 √0.2 0 0 0.8 0 -100 0 -1 0 0 0-0.8 0 0 √0.2 0 0 0 0 1 00 Questions: (1) Singular Values: What are the singular values of M

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the 4 x 5 matrix 1 0 0 0 2 00 300 00000 0 2 000 A singular value decomposition of this matrix is given by UEV 0 -1 0 0 0 0 0 0 0 -1 0 -1 0 M = U E V* = -1 0 0 0 0 00 0500 0 20 0 000 3 0 0 0 0 0 0 √0.2 0 0 0 0.8 -1 0 0 0 0 -0.8 -1 0 0 0 0 1 000 0 0 √0.2 Questions: (1) Singular Values: What are the singular values of M
Transcribed Image Text:Consider the 4 x 5 matrix 1 0 0 0 2 00 300 00000 0 2 000 A singular value decomposition of this matrix is given by UEV 0 -1 0 0 0 0 0 0 0 -1 0 -1 0 M = U E V* = -1 0 0 0 0 00 0500 0 20 0 000 3 0 0 0 0 0 0 √0.2 0 0 0 0.8 -1 0 0 0 0 -0.8 -1 0 0 0 0 1 000 0 0 √0.2 Questions: (1) Singular Values: What are the singular values of M
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