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Using Legendre and Vandermonde matrix

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Drake
Drake on 15 May 2020
Closed: John D'Errico on 15 May 2020
Construct two design matrices for 6 equally-spaced points (5 subintervals) from −1 to 1 (inclusive): (i) the Vandermonde matrix, and (ii) a matrix with the Legendre polynomials P0(x) through P5(x) as its columns. Compute the condition number of each matrix and discuss which is more reliable for higher-order polynomial interpolation. Please Help as I have no idea where to even start.

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