Exercise 1.8 Consider the subspace W = ((1,1,1,1), (1,1,0,0)) of R¹ and the vectors v₁ = (2,2,3,3), v₂ = (0, 1, 1,0), v3 = (1,-1,0, 1). a) Tell which among the vectors v; satisfy dim(W + (v₁)) = 2. b) Tell which among the vectors v; satisfy W (vj). c) Determine a basis and the dimension of (W+ (v₁)) (W+(v₂)). d) Determine a basis and the dimension of (W+ (v2)) + (W + (v3)).

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A: We will find out the required solution.

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