Let the set {V1, v2} be linearly dependent. Determine whether the set {v, + 4v2, 2v, – v2} is also linearly dependent by solving the equations a(v + 4v2) + b(2v, - v2) = 0 and cv + dv2 = 0 for scalars a and b in terms of scalars c and d, where c and d are not both zero. a = b = Is it possible for both a and b to be zero? O Yes O No Thus, is the set {v + 4v2, 2v - v2} linearly dependent? O Yes O No

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A: The linear dependency of vectors is solved as follows :

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Q: solve using the concept of rank.

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