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Suppose you have the following data points for a polynomial of degree 2 -1 1 3 y 3 7 -2 -4 Find the best fit polynomial, P2(x) for the above data points by the least squares method by answering the following (a) Write down the matrices: A, b and AT; and then compute the normal matrix AT A and ATb. (b) Now let V = A" A. Apply LU-decomposition method on the matrix V to find the value of columi T

Suppose you have the following data points for a polynomial of degree 2 -1 1 3 y 3 7 -2 -4 Find the best fit polynomial, P2(x) for the above data points by the least squares method by answering the following (a) Write down the matrices: A, b and AT; and then compute the normal matrix AT A and ATb. (b) Now let V = A" A. Apply LU-decomposition method on the matrix V to find the value of columi T

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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Suppose you have the following data points for a polynomial of degree 2 -1 1 3 Y 3 7 -2 -4 Find the best fit polynomial, P2(x) for the above data points by the least squares method by answering the following: (a) Write down the matrices: A, b and A"; and then compute the normal matrix A" A and ATb. Now let V = AT A. Apply LU-decomposition method on the matrix V to find the value of column (b) matrix elements of x = : (ao, a1, a2)".
Transcribed Image Text:Suppose you have the following data points for a polynomial of degree 2 -1 1 3 Y 3 7 -2 -4 Find the best fit polynomial, P2(x) for the above data points by the least squares method by answering the following: (a) Write down the matrices: A, b and A"; and then compute the normal matrix A" A and ATb. Now let V = AT A. Apply LU-decomposition method on the matrix V to find the value of column (b) matrix elements of x = : (ao, a1, a2)".
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