Question: Let VR4 and let W = {[a1; a2; a3; a4] in R: a2-a = a4-a3} i) Show that W is a subspace of V.

Let VR4 and let W = {[a1; a2; a3; a4] in R: a2-a = a4-a3} i) Show that W is a subspace of V. ii) Find a spanning set S for W. iii) Check if S is linearly independent.

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