Question: Let V/ be a vector space and suppose B = {u, v} is a basis for V. Prove that B' = {ku, v} is also

Let V/ be a vector space and suppose B = {u, v} is a basis for V. Prove that B' = {ku, v} is also a basis for V for every nonzero scalar k. (Hint: You must prove that B'is linearly independent and that it spans V)

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