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Using a step by step proof format Please prove: Given that x is a vector in...

Using a step by step proof format

Please prove:

Given that x is a vector in the span of V, where V is a linearly independent set of vectors, show that there is ONLY ONE linear combination of the vectors in V that yields x. (Hint: to show that something is unique, assume that there is more than one such thing and show that this leads to a contradiction)

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