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Question: suppose that v is a vector space of dimension 2...

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Suppose that V is a vector space of dimension 2 and {u, v} is a basis of V. Leta,b,c,d∈R.

a, 2pt) Prove that the vectors fau if and only if ad-beメ0. bu, cu + d form a linearly independent subset of V b, 1pt) Prove that the vectors (au+bo,cu+du form a basis of V if and only if ad-bc (Use part 2a if needed.) 0

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