1. The question is asking:
Let V be a 3-dimensional vector space with a chosen basis α = {e1,e2,e3}. Consider the subspace W = span(u,v,w). Represent W as span([u]α, [v]α, [w]α), and then write
W as a solution space {X : AX = 0} for some matrix A.
2. u = e1 − e2 + e3
v =...