Let x1, x2,..., xk be linearly independent vectors in a vector space V. (a) If we add
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(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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a If x k1 Spanx 1 x 2 x k then the new set of vectors will be linearly dependent To see this suppose ...View the full answer
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