Suppose the QR-factorization of A = QR is given as [2/3 -1/3] 2/3 2/3 1/3-2/3 Use it to find the least-squares solution of Ax = b where A = 23 24 1 1 = -- b = 3 1 3 [81]

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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Suppose the QR-factorization of A = QR is given as
[23] [2/3 -1/3]
2/3 2/3
[1/3-2/3
24
1 1
A =
=
=
Use it to find the least-squares solution of Ax
b =
7
3
1
3
[81]
01
b where
Transcribed Image Text:Suppose the QR-factorization of A = QR is given as [23] [2/3 -1/3] 2/3 2/3 [1/3-2/3 24 1 1 A = = = Use it to find the least-squares solution of Ax b = 7 3 1 3 [81] 01 b where
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