Let V be the vector space of all functions from the real field R into R. Show that the set W = {f: f(7) = 2 + f(1)} is not a subspace of V.

Q: Let V be the vector space of all functions from the real field R. into R. Show that the set W = {f:…

A: There are three questions in one question First part Let f and g be any two element of W,  i.e.,…

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A: The given statement is

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Q: 2. Let V be the (real) vector space of all functions f from R into R. Which of the following sets of…

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A: In order to solve this problem you need to know the following notions:

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A: We have to show .

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Q: Let vi # v2 E R" and define W1 Span{v2}. Use the definition to show W+n W, is a subspace of R".…

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