Question: Please solve it on paper. Exercise 3. (0.2 Points) A cubic spline has the form Si(x)=ai+bi(xxi)+ci(xxi)2+di(xxi)3x[xi1,xi]R,i=1,,NN and its coefficients can be obtained by solving a

Please solve it on paper.

Please solve it on paper. Exercise 3. (0.2 Points) A cubic spline

Exercise 3. (0.2 Points) A cubic spline has the form Si(x)=ai+bi(xxi)+ci(xxi)2+di(xxi)3x[xi1,xi]R,i=1,,NN and its coefficients can be obtained by solving a system of the form h102(h1+h2)h2h22(h2+h3)h3hN12(hN1+hN)hNc1cN+1=w2wN where the first and last rows of the matrix and the right-hand side vector are missing. Construct the first and last rows of the matrix and of the right-hand side vector so that the boundary conditions c1=c2 and cN=cN+1 are satisfied

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