5. [10 points] (Condition Number) Consider f: R R defined as f(x) = = xQx+bx+c...

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5. [10 points] (Condition Number) Consider f: R → R defined as f(x) = = x¹Qx+b²x+c where 1 = [2 i], 6= [1+c], b 1 - c=2². C (a) Find the condition number of the Hessian of f for € € (0, 1). (b) What happens to the condition number as € 0 and as € → 1. 5. [10 points] (Condition Number) Consider f: R → R defined as f(x) = = x¹Qx+b²x+c where = [21], 6= [1+c], b - c=2². C (a) Find the condition number of the Hessian of f for €€ (0, 1). (b) What happens to the condition number as € → 0 and as € → 1. 5. [10 points] (Condition Number) Consider f: R → R defined as f(x) = = x¹Qx+b²x+c where 1 = [2 i], 6= [1+c], b 1 - c=2². C (a) Find the condition number of the Hessian of f for € € (0, 1). (b) What happens to the condition number as € 0 and as € → 1. 5. [10 points] (Condition Number) Consider f: R → R defined as f(x) = = x¹Qx+b²x+c where = [21], 6= [1+c], b - c=2². C (a) Find the condition number of the Hessian of f for €€ (0, 1). (b) What happens to the condition number as € → 0 and as € → 1.