Distinguish between interpolation and best approximation

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1. Distinguish between interpolation and best approximation.

2. What is the difference between continuous and discrete least squares approximation?

3. Write down the normal equations for least squares approximation.

4. Write down the Hilbert matrix of size n ×n. When does this matrix arise?

5. What are the conditions for a function v(x) to be the orthogonal projection of a function f (x) onto the space spanned by the two functions φ1(x) and φ2(x)?

Reference no: EM131253404

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