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- QUESTION 1Show that W = {(a, 0, b)|a, b ∈ R} is a subspace of R3arrow_forwardWhich of the following are vector subspaces of R3? all vectors of the form (a, b, c), where b = a + c? all vectors of the form (a, b, c), where b = a + c + 1? Note: In the image the problem is described more clearly, do not skip any step and solve the two parts a and b.arrow_forwardLet ?1 = (4 3 2 1), ?2 = (−2 0 -1 0), ?3 = (0 3 0 1)a) Find the subspace of R^4 spanned by these vectors.b) Are the vectors linearly independent?c) Determine a basis for R^4 that contains as many of the above three vectors as possible.arrow_forward
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