Question: Find a weighted Euclidean inner product on Rn such that the vectors v1 = (1, 0, 0,..., 0) v2 = (0, 2,0,..., 0) v3 =

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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