2. Let W be the subspace of R5 spanned by the vectors (1,1,1,1,1),(1,0,1,0, 1), (0,1,1,1,0), (2,0,0,1, 1), (2,1,1,2,1),(1,-1,-1,-2,2) Find a basis for W and find the dimension of w.

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Q: Could you provide an example for finding a basis (of a subspace) of an orthogonal complement?

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Q: b) Let v1 = (1,2,1), V2 = (2,9,0) and vV3 = (3,3,4). Show that S = (V1, V2, V3) is a basis for R³.…

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