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5. [10 points] (Condition Number) Consider f: R R defined as f(x) = = xQx+bx+c where 1 = [2 i], 6= [1+c], b 1

5. [10 points] (Condition Number) Consider f: R  R defined as f(x) = = xQx+bx+c where = [21], 6= [1+c], b -

5. [10 points] (Condition Number) Consider f: R R defined as f(x) = = xQx+bx+c where 1 = [2 i], 6= [1+c], b 1 - c=2. 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) = = xQx+bx+c where = [21], 6= [1+c], b - c=2. 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.

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