Let x1, x2, . . . , xk be linearly independent vectors in a vector space V. (a) If we
Chapter 3, Problem 5(choose chapter or problem)
Let x1, x2, . . . , xk be linearly independent vectors in a vector space V. (a) If we add a vector xk+1 to the collection, will we still have a linearly independent collection of vectors? Explain. (b) If we delete a vector, say xk , from the collection, will we still have a linearly independent collection of vectors? Explain.
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