A singular value decomposition -0.5 0.5 0.5 0.5 -0.5 -0.5 0.5 0.5 0.5 0.5 A = UEVT = -0.5 0.5 0.5 -0.5 Find the least-squares solution of the linear system 2 Ax = *1 = *2 = b, where b = of A is as follows: -0.5 0.5 15 0 0 24 -3 5 10 0.6 0 0 [0.8 0 0 0.8 -0.6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.1: Systems Of Equations
Problem 5E
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A singular value decomposition
of A is as follows:
-0.5 0.5
-0.5 0.5
0.5
0.5 0.5
-0.5 -0.5
0.5
0.5
0.5
0.5
-0.5 0.5 0.5 -0.5 0
Find the least-squares solution of the linear system
2
4
-3
A = UEVT
Ax
î1
î2
=
||
||
=
=
b, where b =
5
15
0
0
10 0.6
0.8
0 0 0.8 -0.6
0
Transcribed Image Text:A singular value decomposition of A is as follows: -0.5 0.5 -0.5 0.5 0.5 0.5 0.5 -0.5 -0.5 0.5 0.5 0.5 0.5 -0.5 0.5 0.5 -0.5 0 Find the least-squares solution of the linear system 2 4 -3 A = UEVT Ax î1 î2 = || || = = b, where b = 5 15 0 0 10 0.6 0.8 0 0 0.8 -0.6 0
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