In the following examples determine whether the subset w

In the following examples, determine whether the subset W ⊆ V is a subspace:

(a) V = F(R,R) is the R-vector space of all functions from R to R and W = {f : R → R | f (3) =-2} is the subset consisting of those functions f : R → R such that f (3) = -2;

(b) V = F(R,R) and W = {f : R → R | f (3) = 0}

.(c) V = R^2 and W ⊆ V is the subset consisting of those vectors (a,b) such that a^3 + b^5 = 0;

 

 

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Algebra: In the following examples determine whether the subset w
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