8. Let A be the 10 x n matrix formed by the first n columns of the 10 x 10 Hilbert matrix. Let c be the n-vector [1, ..., 1], and set b = Ac. Use the normal equations to solve the least squares problem Ax = b for solution x = c. How many correct decimal places can be computed? Use condition number to explain the results. (b) n = 8, and compare with the correct least squares
8. Let A be the 10 x n matrix formed by the first n columns of the 10 x 10 Hilbert matrix. Let c be the n-vector [1, ..., 1], and set b = Ac. Use the normal equations to solve the least squares problem Ax = b for solution x = c. How many correct decimal places can be computed? Use condition number to explain the results. (b) n = 8, and compare with the correct least squares
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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