2. This problem concerns polynomial interpolation based on expansion p(x) = C + cx + c3x...

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2. This problem concerns polynomial interpolation based on expansion p(x) = C₁ + c₂x + c3x² + tin n n-1 in the monomial basis in tandem with the Vandermonde approach. Use MATLAB to find the infinity- norm condition number of the Vandermonde matrix V for n = 5, 10, 15, 20 equally spaced points on the interval [0, 1], that is for the points x = transpose (linspace(0,1,n)). Note that the jth column of V will then be x. ^ (j − 1). Prepare a table of your results, and discuss the implications. 2. This problem concerns polynomial interpolation based on expansion p(x) = C₁ + c₂x + c3x² + tin n n-1 in the monomial basis in tandem with the Vandermonde approach. Use MATLAB to find the infinity- norm condition number of the Vandermonde matrix V for n = 5, 10, 15, 20 equally spaced points on the interval [0, 1], that is for the points x = transpose (linspace(0,1,n)). Note that the jth column of V will then be x. ^ (j − 1). Prepare a table of your results, and discuss the implications.