Let G be a basis for a vector space V of dimension m. Showthat a linear combination of

Chapter 9, Problem 49

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Let G be a basis for a vector space V of dimension m. Showthat a linear combination of vectors v1, ... , vk is equal to v in V ifand only if there is a linear combination of the coordinate vectors[v1]G, ... , [vk ]G that is equal to the coordinate vector vG in Rm.

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