Let G be a basis for a vector space V of dimension m. Showthat a set of vectors {v1, ..

Chapter 9, Problem 47

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Let G be a basis for a vector space V of dimension m. Showthat a set of vectors {v1, ... , vk } is linearly independent in V ifand only if the coordinate vectors {[v1]G, ... , [vk ]G} are linearlyindependent in Rm.

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