Given the following data:x 0 0.25 0.5 1y 1 1.41.6 2Consider the problem of constructing a natural cubic spline S(x). Form the matrix Aand vector of y values which are used to solve the vector containing all coefficients.

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Answered: Given the following data: x 0 0.25 0.5…

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 5P

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Given the following data: x 0 0.25 0.5 1 y 1 1.4 1.6 2 Consider the problem of constructing a natural cubic spline S(x). Form the matrix A and vector of y values which are used to solve the vector containing all coefficients.