Let {x1, x2, . . . , xk } be a spanning set for a vector space V. (a) If we add another
Chapter 3, Problem 14(choose chapter or problem)
Let {x1, x2, . . . , xk } be a spanning set for a vector space V. (a) If we add another 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. 1
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