Question: Matlab Exercise 1 Write a function Lagrange interp.m that computes the Lagrangian interpolant of a given set of data points (xi, yi), 1, 2, The

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Matlab Exercise 1 Write a function Lagrange interp.m that computes the Lagrangian

Exercise 1 Write a function Lagrange interp.m that computes the Lagrangian interpolant of a given set of data points (xi, yi), 1, 2, The function should be of the form function [y] = Lagrange-interp (xi,yi,x) Input: i: vector of interpolation nodes yi: vector of data points at interpolation nodes x: vector of points at which we evaluate the polynomial interpolant Output: y: polynomial interpolant evaluated at x Hint: Compare the output of your function with the output of the Matlab/Octave built-in function y-polyval (polyfit(xi,yi,length(xi)-1),x) (see the Matlab/Octave documentation

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