Consider the vectors u₁ = [1,0,-1], u2 = [1,0,0] and u3 = [0, 1,1], v= [5, 1,3] and w= [1,0,3]. (a) Show that the vectors u₁, 2 and u3 are linearly independent. (b) Show that the vector v is in the span of 1₁, 12 and 13. (c) Find the coordinate vector of v with respect to {u₁, 12, 13).

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