Let C be the closed convex set shown below u x2 21 Note that C is the

Let C be the closed convex set shown below

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u x2 21 Note that C is the intersection of three halfspaces and can be precisely described by the inequalities C = {x R x-1, x20, x1 + x2 0}. (a) Describe the set of all supporting hyperplanes of C at point u = find all pairs a R2 and tR such that That is, 1/2 aut and axt for all x = C. cos To avoid redundancy, consider a with ||a||2 = 1, that is a = for some range sin of 0. u x2 21 Note that C is the intersection of three halfspaces and can be precisely described by the inequalities C = {x R x-1, x20, x1 + x2 0}. (a) Describe the set of all supporting hyperplanes of C at point u = find all pairs a R2 and tR such that That is, 1/2 aut and axt for all x = C. cos To avoid redundancy, consider a with ||a||2 = 1, that is a = for some range sin of 0.