(1) (15%) Let V = R6. Let W be the subspace of V spanned by (1,...

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(1) (15%) Let V = R6. Let W be the subspace of V spanned by (1, 2, 3, 4, 5, 6), (3, 4, 6, 7, 9, 10), (0, 1, 0, 2, 0, 3), (1, 2, 3, 4, 5, 6), and W be the subspace of V spanned by (1, 1, 1, 2, 2, 3), (2, 0, 1, 0, 1, 2), (1, 0, 1, 0, 2, 0), (0, 0, 1, 0, 2, 2). Find the dimension of the subspace Wn W and find a basis for this subspace. (1) (15%) Let V = R6. Let W be the subspace of V spanned by (1, 2, 3, 4, 5, 6), (3, 4, 6, 7, 9, 10), (0, 1, 0, 2, 0, 3), (1, 2, 3, 4, 5, 6), and W be the subspace of V spanned by (1, 1, 1, 2, 2, 3), (2, 0, 1, 0, 1, 2), (1, 0, 1, 0, 2, 0), (0, 0, 1, 0, 2, 2). Find the dimension of the subspace Wn W and find a basis for this subspace.