Using the conditions of optimality, find the extreme points of the following func- tions and determine whether they are maxima or minima. You may use a computer to find the eigenvalues, but these questions should have easily accessible eigenvalues by hand. (a) f: R² → R for ƒ(x1, x2) = x† + 2x½ — 4x1x2 (b) f: R³ → R for ƒ(x) = ïª Aï+bªï, where A = -1 0 1/2] 0-1 0 1/2 0 -1 012 b= 1

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