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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

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Determinants
Section3.CM: Cumulative Review
Problem 17CM: Find the sequence of the elementary matrices whose product is the non singular matrix below. [2410]
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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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