Prove that if V is a finite-dimensional vector space over a field F, then a subset {
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Prove that if V is a finite-dimensional vector space over a field F, then a subset {βi, β2 , ··· , βn} of V is a basis for V over F if and only if every vector in V can be expressed uniquely as a linear combination of the βi.
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Because each vector in V can be expressed as a linear combination o...View the full answer
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