Question: 2. Let V be a vector space over F where dim(V)= n. Let B={v1,v2,,vn} be an ordered basis of V, and let C={w1,w2,wn}. Using only

2. Let V be a vector space over F where dim(V)=

2. Let V be a vector space over F where dim(V)= n. Let B={v1,v2,,vn} be an ordered basis of V, and let C={w1,w2,wn}. Using only the material from Chapter 1, prove the following statement: C is a basis of V if and only if [C]B={[w1]B,[w2]B,,[wn]B} is a basis of Fn

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