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Exam (elaborations) TEST BANK FOR Convex Optimization 1st Edition By Stephen Boyd (Solution Manual)
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Exam (elaborations) TEST BANK FOR Convex Optimization 1st Edition By Stephen Boyd (Solution Manual) 
Convex Optimization 
Solutions Manual 
Stephen Boyd Lieven Vandenberghe 
January 4, 2006 
Chapter 2 
Convex sets 
Exercises 
Exercises 
Denition of convexity 
2.1 Let C Rn be a convex set, with x1; : : : ; xk 2 C, and let 1; : : : ; k 2 R satisfy i 0, 
1 + + k = 1. Show that 1x1 + + kxk 2 C. (The denition of convexity is that 
this holds for k = 2; you must show it for a...
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