[2 1] -31 Let A = 1 1 and b = -9. The QR factorization of 2 1 the matrix A is given by: 1 1 = 3-√2 3 3√2 -√2 [4] √√2 2 1 3 (a) Applying the QR factorization to solving the least squares problem Ax = b gives the system: -9 X= √√2 (b) Use backsubstitution to solve the system in part (a) and find the least squares solution. 9 2 x = 533 9
[2 1] -31 Let A = 1 1 and b = -9. The QR factorization of 2 1 the matrix A is given by: 1 1 = 3-√2 3 3√2 -√2 [4] √√2 2 1 3 (a) Applying the QR factorization to solving the least squares problem Ax = b gives the system: -9 X= √√2 (b) Use backsubstitution to solve the system in part (a) and find the least squares solution. 9 2 x = 533 9
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.2: Linear Independence, Basis, And Dimension
Problem 3AEXP
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