Let u e R" be a fixed vector. Let U = uu. Show that maximizing x"U(Ï – x) over all binary vectors x € {0, 1}" is equivalent to partitioning the coordinates of u into two subsets where the sum of the elements in both subsets are as equal as possible. Here 1 represent the all-ones vectors l= [1,1,..., 1]". n coordinates

Let u e R" be a fixed vector. Let U = uu. Show that maximizing x"U(Ï – x) over all binary vectors x € {0, 1}" is equivalent to partitioning the coordinates of u into two subsets where the sum of the elements in both subsets are as equal as possible. Here 1 represent the all-ones vectors l= [1,1,..., 1]". n coordinates

Elementary Linear Algebra (MindTap Course List)

8th Edition

ISBN:9781305658004

Author:Ron Larson

Publisher:Ron Larson

Chapter4: Vector Spaces

Section4.3: Subspaces Of Vector Spaces

Problem 52E

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