Question: 1. Let (e1, , 3,) be a basis fora vector space V. Show that (el + en, 32 + en, ,en_1 + en, en) is

1. Let (e1, , 3,) be a basis fora vector space V. Show that (el + en, 32 + en, ,en_1 + en, en) is also a basis for V. 2. Let W be an (n 1)dimensional subspace of V. Show that V has a basis B satisfying B n W =

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