Question: 11. (bonus) Let V be a vector space and suppose f1, f2, . .. , fn are linear forms such that ker(f1) nker(f2)n . ..

11. (bonus) Let V be a vector space and suppose f1, f2, . .. , fn are linear forms such that ker(f1) nker(f2)n . .. nker(fn) = {0}. Let o : V - F" be defined as follows. fi(x) f2(x) (x) = Lfm (xx ) Show that o is linear and injective, and therefore that dim(V)

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