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Question: another way to interpolate is to solve the linear system...

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Another way to interpolate is to solve the linear system 2 Jo 2 1 01 1 rn yn The (n + 1) × (n + 1) matrix is called the Vandermonde matrix. (i) Prove the Vandermonde matrix is nonsingular when the ci are distinct. (ii) Use the Vandermonde matrix to find the unique cubic polynomial that interpolates the set

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