Answer each of the statements that follow as true or false. In each case, explain or prove your answer.
If x1, x2, . . . , xk are vectors in a vector space V and Span(x1, x2, . . . , xk) = Span(x1, x2, . . ., xk−1)
then x1, x2, . . . , xk are linearly dependent.
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