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Let A [2 1] co' = ||| x = [2 1] H 1 1 and b = wo color 2 1 = 2 1 3 2 - 1/2 √2 3/2 √√/2 -√2 X = 696 (a) Applying the QR factorization to solving the least squares problem Ax = b gives the sys 18 -3 The QR factorization of the matrix A is given by: 5 3 3 0 √2 3 (b) Use backsubstitution to solve the system in part (a) and find the least squares solution. 18

Let A [2 1] co' = ||| x = [2 1] H 1 1 and b = wo color 2 1 = 2 1 3 2 - 1/2 √2 3/2 √√/2 -√2 X = 696 (a) Applying the QR factorization to solving the least squares problem Ax = b gives the sys 18 -3 The QR factorization of the matrix A is given by: 5 3 3 0 √2 3 (b) Use backsubstitution to solve the system in part (a) and find the least squares solution. 18

Advanced Engineering Mathematics
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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[2 1] --B Let A = = 1 1 and b 2 1 = x 2 -√2 2√2 1 3 = 2 3 √₂ 9 -3 The QR factorization of the matrix A is given by: 5 [3 3 0 (a) Applying the QR factorization to solving the least squares problem Ax = b gives the system 5 3 *+8 = √2 3 (b) Use backsubstitution to solve the system in part (a) and find the least squares solution. -18
Transcribed Image Text:[2 1] --B Let A = = 1 1 and b 2 1 = x 2 -√2 2√2 1 3 = 2 3 √₂ 9 -3 The QR factorization of the matrix A is given by: 5 [3 3 0 (a) Applying the QR factorization to solving the least squares problem Ax = b gives the system 5 3 *+8 = √2 3 (b) Use backsubstitution to solve the system in part (a) and find the least squares solution. -18
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