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5. (optional; 5 points) Let F = Z2 and let W be the set of all linear maps L : F3 - F2 with the

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5. (optional; 5 points) Let F = Z2 and let W be the set of all linear maps L : F3 - F2 with the property that span((1, 0, 1)) C ker(L). How many elements does W have

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