Use equation (1) with weight vector w = 1 4 , 1 2 , 1 4 T to define an inner product for

Chapter 5, Problem 3

(choose chapter or problem)

Use equation (1) with weight vector w = 1 4 , 1 2 , 1 4 T to define an inner product for R3, and let x = (1, 1, 1)T and y = (5, 1, 3)T . (a) Show that x and y are orthogonal with respect to this inner product. (b) Compute the values of x and y with respect to this inner product. 4.

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