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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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