Question 2 Consider the vector space V = C(R). Find a basis Bw, for the following subspaces W; of V using vectors in the subspace W₁, for i=1,2,3. (a) W₁ = Span({1, x, x²}). (b) W₂ = Span({cos(2x), sin²(z), cos²(x)}). (c) W3 = Span({1, x, cos(x), cos(2x)}).

Fig: 1