Problem 1. Answer the following questions. No mark will be given if no valid reason is given. (a) (1%) Consider x € R" and y = Ax € RP. Constraint on n and p such that A is a tall matrix. (b) (1%) Show that given any 3-dimensional vector x = Feb one can always find a set of real coefficients 01,02,03 such that aj = (0.1,0.2, 0.3); Due Febua Hint: consider using the proof of contradiction. Febriu Du az = (0.3,0.1,0.2); (r1, 12, 13), and the following vectors: %3D x = 01a1 + 0za2 + Ozaz. (0.2,0.3,0.1) De February Due Febeu D Fbruar Fehrua Due Felsu ent1 Due Fbr 2022 2022
Problem 1. Answer the following questions. No mark will be given if no valid reason is given. (a) (1%) Consider x € R" and y = Ax € RP. Constraint on n and p such that A is a tall matrix. (b) (1%) Show that given any 3-dimensional vector x = Feb one can always find a set of real coefficients 01,02,03 such that aj = (0.1,0.2, 0.3); Due Febua Hint: consider using the proof of contradiction. Febriu Du az = (0.3,0.1,0.2); (r1, 12, 13), and the following vectors: %3D x = 01a1 + 0za2 + Ozaz. (0.2,0.3,0.1) De February Due Febeu D Fbruar Fehrua Due Felsu ent1 Due Fbr 2022 2022
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section11.11: Separable Programming
Problem 3P
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