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QUESTION
Suppose that U and V are subspaces of a vector space W. Then UnV is a subspace of both U and V, and U and V are both subspaces of U + V . Show that...
Suppose that U and V are subspaces of a vector space W . Then U ∩ V is a subspace of both U and V ,and U and V are both subspaces of U+V . Show that (U+V)/U ≃V/(U∩V).
Suppose that U and V are subspaces of a vector space W. Then UnV is a subspace of bothU and V, and U and V are both subspaces of U + V . Show that (U + V)/U ~ V/(UnV).