Let {v1, v2} be a linearly independent set in a vector space V, and let v = v1 + v2, w =

Chapter 4, Problem 45

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Let {v1, v2} be a linearly independent set in a vector space V, and let v = v1 + v2, w = v1 + v2, where is a constant. Use Definition 4.5.4 to determine all values of for which {v, w} is linearly independent.

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