Write down the monomial polynomial basis

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Assignment:

Consider the interpolation problem associated with the following data nodes:

x1 = 0,  x2 = 1,  x3 = 3.

For the following you need not simplify your answers.

(a) Write down the monomial polynomial basis and Vandermonde matrix corresponding to these nodes.

(b) Write down the Lagrange polynomial basis and Vandermonde matrix corresponding to these nodes.

(c) Write down the Newton polynomial basis and Vandermonde matrix corresponding to these nodes.

Reference no: EM133931896

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