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Give an counter example or explain why those are false a) every linearly independent subset of...

Give an counter example or explain why those are false
a) every linearly independent subset of a vector space V is a basis for V
b) If S is a finite set of vectors of a vector space V and v ⊄span{S}, then S U{v} is linearly independent
c) Given two sets of vectors S1 and S2, if span(S1) =Span(S2), then S1=S2
d) Every linearly dependent set contains the zero vector

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