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Exercise 1.6.24

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By Exercise 1.5.18 we have $β = {f^{(i)}}_{i = 0, 1, \dots, n}$ is independent since they all have different degree. And since dim $(P_{n} (ℝ)) = n + 1$ we can conclude that $β$ is a basis and hence it generate the space $P_{n} (ℝ))$ .

jephianlin

2011-06-27 00:00

Exercise 1.6.24

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