A=UEVT 0.5 0.5 0.5 0.5] [20 -0.5 0.5 -0.5 0.5 0 15 [0.8 -0.6 0.5 -0.5 -0.5 0.5 0 0 0.6 0.8 -0.5 -0.5 0.5 0.5 0 0 Find the least-squares solution of the linear system 3 Axb, where b = || 3 4 1

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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A singular value decomposition of A is as follows:
0.5
0.5
0.5] [20
0
-0.5
0.5 0 15 [0.8 -0.6]
0.5 -0.5
0.6 0.8
-0.5 -0.5 0.5 0.5
Find the least-squares solution of the linear system
3
3
A = UEVT
Ax = b, where b = =
21=
||
₂ =
0.5
0.5 -0.5
4
-0.5 0.5 0 0
0 0
Transcribed Image Text:A singular value decomposition of A is as follows: 0.5 0.5 0.5] [20 0 -0.5 0.5 0 15 [0.8 -0.6] 0.5 -0.5 0.6 0.8 -0.5 -0.5 0.5 0.5 Find the least-squares solution of the linear system 3 3 A = UEVT Ax = b, where b = = 21= || ₂ = 0.5 0.5 -0.5 4 -0.5 0.5 0 0 0 0
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