Question: Problem 4 Let V = R' be a vector space with the usual internal and external operations, and let X = { (1, 1), (-1,

Problem 4 Let V = R' be a vector space with the usual internal and external operations, and let X = { (1, 1), (-1, 2) } C R2 be a subset of V. 1. Prove that the set X is independent. 2. Taking u1 = (1, 1), find the orthonormal basis generated by X. 3. Find the coefficients in this basis to represent the elements (1, 0) and (1, 1)

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