Find a weighted Euclidean inner product on Rn such that the vectors v1 = (1, 0, 0,...

Chapter 6, Problem 8

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Find a weighted Euclidean inner product on Rn such that the vectors v1 = (1, 0, 0,..., 0) v2 = (0, 2, 0,..., 0) v3 = (0, 0, 3,..., 0) . . . vn = (0, 0, 0,..., n ) form an orthonormal set.

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