4) (5 points) Let V be a vector space over some field F (a) (3 points) Let W be a subspace of a vector space V. Suppose

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4 5 Points Let V Be A Vector Space Over Some Field F A 3 Points Let W Be A Subspace Of A Vector Space V Suppose 1 (69.37 KiB) Viewed 50 times

4) (5 points) Let V be a vector space over some field F (a) (3 points) Let W be a subspace of a vector space V. Suppose x, y € V are not in W. Show that if x € span(W, y) then y ≤ span(W, x) (b) (2 point) Give an example of a vector space V, a subspace W ≤ V, and vectors x, y € V such that x € span(W, y) but y & span(W, x)