Q-4:| a) Determine whether the following set of vectors in R³ is linearly independent. If not, find non-trivial weights C1, C2, and c3 such that c₁V₁ + C₂V₂+ C3V3 = 0. S = {(1,2,3), (4,5,6), (2,1,0)}. b) Determine whether the vector u = (8,7,-2) is a linear combination of the vectors v₁ = (1,2,0), v₂ = (0,2,1) and v3 = (-3,9,5). And if so, find the weights C1, C2, and c = such that u c₁v₁ + C₂V₂ + C3V3.

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A: Since you have posted multiple questions, we will provide the solution only to the second…