Question: see attached (a) Suppose that the vector v E S. Prove that V = S pan(S {v}) iff v can be written as a

see attached

(a) Suppose that the vector v E S. Prove that V = S pan(S \\ {v}) iff v can be written as a linear combination of some of the vectors in S \\ {v}. (b) Suppose that the vector W S. Prove that V = S pan(S U {W}) itf W can be written as a linear combination of some of the vectors in S

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