A singular value decomposition of A is as follows: [5 0] 0 5 0 0 -0.5 -0.5 Lo 0 [0.5 0.5 -0.5 -0.5 0.5 0.5 0.5 -0.6 0.8] 0.6] 0.5 A = UEV" : 0.5 -0.5 0.5 -0,5 0.8 [0.5 0.5 Find the least-squares solution of the linear system 3 Ax = b, where b = -5

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 2E
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A singular value decomposition of A is as follows:
ГО.5
0.5
0.5
0.5
[5 07
0.5 -0.5 -0.5
0.5 -0.5
[0.5
0 5
0 0
0.5
-0.6 0.8]
A = U£VT =
0.5
-0.5
0.8
0.6
0.5
-0.5 -0.5]
Find the least-squares solution of the linear system
Ax = b, where b =
-5
||
Transcribed Image Text:A singular value decomposition of A is as follows: ГО.5 0.5 0.5 0.5 [5 07 0.5 -0.5 -0.5 0.5 -0.5 [0.5 0 5 0 0 0.5 -0.6 0.8] A = U£VT = 0.5 -0.5 0.8 0.6 0.5 -0.5 -0.5] Find the least-squares solution of the linear system Ax = b, where b = -5 ||
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