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could anyone help me solve this problem using matlabScreen Shot</h1><p class='abPRemoveTitle'> 2019-09-25 at 10.10.34 PM.pngScreen Shot 2019-09-25 at 10.10.49 PM.png

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2.8.4. m The condition number of the formulation of polynomial interpolation
suggested in Section 2.1 is terrible as the degree of the polynomial increases.

Screen Shot 2019-09-25 at 10.10.49 PM.png

Let A, denote the (n + 1) x (n + 1) version of the Vandermonde matrix in
equation (2.1.2) based on the equally spaced interpolation nodes t; = i/n for
i = 0, ...,n.
(a) Using the 1-norm, graph k( A, ) as a function of n for n = 4,5,6,...,20,
using a log scale on the y-axis. (The graph is nearly a straight line.)
(b) Show that if log f(n) is a linear function of n with positive slope, then
f(n) = Ca&quot; for constants C &gt; 0 and a &gt; 1.

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