Let W and U be subspaces of vector space V. (a) Show that W ( U, the

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Let W and U be subspaces of vector space V.
(a) Show that W ( U, the set of all vectors v that are either in W or in U, is not always a subspace of V.
(b) When is W ( U a subspace of V?
(c) Show that W ( U, the set of all vectors v that are in both W and U, is a subspace of V.
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