Exercise 3.5 Let P = {x € R³ | x₁ + x₂ + x3 = 1, x ≥ 0} and consider the vector x = (0, 0, 1). Find the set of feasible directions at x.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 26EQ
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{dɛ Rª | Ad = 0, Dd ≤ 0}.
Exercise 3.5 Let P = {x € R³ | x₁ + x2 + x3 = 1, x ≥ 0} and consider the
vector x = (0, 0, 1). Find the set of feasible directions at x.
Exercise 3.6 (Conditions for a unique optimum) Let x be a basic feasible
colution associated with some basis matrix B. Prove the following:
Transcribed Image Text:{dɛ Rª | Ad = 0, Dd ≤ 0}. Exercise 3.5 Let P = {x € R³ | x₁ + x2 + x3 = 1, x ≥ 0} and consider the vector x = (0, 0, 1). Find the set of feasible directions at x. Exercise 3.6 (Conditions for a unique optimum) Let x be a basic feasible colution associated with some basis matrix B. Prove the following:
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