Exercise 4.28 Let a and a1,..., am be given vectors in R. Prove that the following...

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Exercise 4.28 Let a and a1,..., am be given vectors in R". Prove that the following two statements are equivalent: (a) For all x > 0, we have a'x < max, ax. (b) There exist nonnegative coefficients X; that sum to 1 and such that a < Exercise 4.28 Let a and a1,..., am be given vectors in R". Prove that the following two statements are equivalent: (a) For all x > 0, we have a'x < max, ax. (b) There exist nonnegative coefficients X; that sum to 1 and such that a <

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