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- show what W = {(a,0,b)| a,b E R) is a subspace of R^3arrow_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_forwardFrom my linear algebra course practice problems: "Is the subset of polynomials for which p(-1) = p(0) = p(5) a subspace of the vector space of all polynomials? Justify your reasoning." I'm aware of the 3 criteria needed to be met for a subset to be considered a subspace, but I just have no idea how to approach determining whether the zero vector is in the subset, and whether addition and multiplication are closed to the set.arrow_forward
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