Question: Let {x1, x2,..., xk} be a spanning set for a vector space V. (a) If we add an additional vector xk+1 to the set, will

Let {x1, x2,..., xk} be a spanning set for a vector space V.
(a) If we add an additional vector xk+1 to the set, will we still have a spanning set? Explain.
(b) If we delete one of the vectors, say xk, from the set, will we still have a spanning set? Explain.

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