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  3. 4 let s and s2 be subspaces of a vector...

Question: 4 let s and s2 be subspaces of a vector...

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4) Let S and S2 be subspaces of a vector spaces V. Let (a) Show that in general, S1 U S2 is not a subspace of V. Here, you just need a counterexample. I would consider V -R2 (b) Show that Sin S2 is a subspace of V. This is harder. This has to be proved in general, so we cannot assume we are dealing with Rn. Start with arbitrary ự,Ü Si n S2 and c, d є R. Show that cũ田đỡ є s.ns, Also, be sure to determine the zero vector for S1 n S2

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