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Exercise 6 6 5 First prove that all degree at most 2 functions P 2...

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Exercise 6 6 5 First prove that all degree at most 2 functions P 2 f x ax bx cla b c R is a vector space Then find a basis for this vector space Next consider P to be the set of all polynomials of all degrees can you imagine basis set If you can you have found your first infinite dimensional basis

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