178CHAPTER 714. Find the polynomial of degree 10 that best fits the function b(t) = cos(4t)at 50 equally-spaced points t between 0 and 1. Set up the matrix A andright-hand side vector b, and determine the polynomial coefficients in twodifferent ways:(a) By using the MATLAB command x =position).A\b (which uses a QR decom-(b) By solving the normal equations AT Ax = ATb. This can be done inMATLAB by typing x = (A'*A) \(A'*b).Print the results to 16 digits (using format long e) and comment on thedifferences you see. [Note: You can compute the condition number of Aor of AT A using the MATLAB function cond.]15. In the inclined plane experiment of Galileo described is rif on.

A thorough explanation is provided below. Explanation:format long e% Interpolating the function…

Answered: 178 CHAPTER 7 14. Find the polynomial…

Operations Research : Applications and Algorithms

4th Edition

ISBN:9780534380588

Author:Wayne L. Winston

Publisher:Wayne L. Winston

Chapter2: Basic Linear Algebra

Section2.4: Linear Independence And Linear Dependence

Problem 8P

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