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178 CHAPTER 7 14. 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 and right-hand side vector b, and determine the polynomial coefficients in two different 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 in MATLAB by typing x = (A'*A) \(A'*b). Print the results to 16 digits (using format long e) and comment on the differences you see. [Note: You can compute the condition number of A or of AT A using the MATLAB function cond.] 15. In the inclined plane experiment of Galileo described is r if on .

178 CHAPTER 7 14. 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 and right-hand side vector b, and determine the polynomial coefficients in two different 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 in MATLAB by typing x = (A'*A) \(A'*b). Print the results to 16 digits (using format long e) and comment on the differences you see. [Note: You can compute the condition number of A or of AT A using the MATLAB function cond.] 15. In the inclined plane experiment of Galileo described is r if on .

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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178 CHAPTER 7 14. 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 and right-hand side vector b, and determine the polynomial coefficients in two different 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 in MATLAB by typing x = (A'*A) \(A'*b). Print the results to 16 digits (using format long e) and comment on the differences you see. [Note: You can compute the condition number of A or of AT A using the MATLAB function cond.] 15. In the inclined plane experiment of Galileo described is r if on .
Transcribed Image Text:178 CHAPTER 7 14. 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 and right-hand side vector b, and determine the polynomial coefficients in two different 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 in MATLAB by typing x = (A'*A) \(A'*b). Print the results to 16 digits (using format long e) and comment on the differences you see. [Note: You can compute the condition number of A or of AT A using the MATLAB function cond.] 15. In the inclined plane experiment of Galileo described is r if on .
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