Let -3 -16.5 3 16.5 A = -15 -7.5 15 7.5 A singular value decomposition of A is -0.5 0.5 0.5 -0.5 [30 0 A = 0.5 -0.5 0.5 -0.5 -0.5 -0.5 0.5 0.5 0 15 0.6 0.8 0 0 0.8 -0.6 0.5 0.5 0.5 0.5 0 0 Find the least-squares solution of the linear system A = b where * = 100 -1 3

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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Let
-3 -16.5
3
16.5
A
=
-15
-7.5
15
7.5
A singular value decomposition of A is
-0.5 0.5 0.5 -0.5 [30
0
A =
0.5 -0.5 0.5 -0.5
-0.5 -0.5 0.5 0.5
0
15
0.6
0.8
0
0
0.8
-0.6
0.5
0.5 0.5 0.5
0
0
Find the least-squares solution of the linear system A = b where
*
=
100
-1
3
Transcribed Image Text:Let -3 -16.5 3 16.5 A = -15 -7.5 15 7.5 A singular value decomposition of A is -0.5 0.5 0.5 -0.5 [30 0 A = 0.5 -0.5 0.5 -0.5 -0.5 -0.5 0.5 0.5 0 15 0.6 0.8 0 0 0.8 -0.6 0.5 0.5 0.5 0.5 0 0 Find the least-squares solution of the linear system A = b where * = 100 -1 3
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