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Find a basis for the given subspace by deleting linearly dependent vectors. Very little computation should be required. S = span -{[-2] [ -22]} Give the dimension of the subspace.

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• ### 49. By inspection, determine why each of the sets is linearly dependent. (a) S = {(1,...

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Determine whether the following sets are linearly dependent or linearly indepen dent. If they are linearly dependent, find a subset that is linearly independent and has the same span (b) ((1,-1,2), (1,-2, 1), 1,4, 1)) in R3. (c) (1, 1,0), (1,0, 1), (0,1,1in (F2) (recall that F2-Z/2Z, the field with two elements).

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