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Question: probletn 3 it is a fact that every vector space...

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Probletn 3. It is a fact that every vector space has a basis. If F is a field let F(t) := {fl f.9 E Flt] and 0 9) with the usual addition and multiplication of fractions. Can you find a basis for each of the following: [If you can, try to justify.] F, R(t), C(t), Qt). Hint: Recall how you integrated rational functions in calculus.
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