Question: Task 6: Consider a function f(x) defined as,f(x)=xTAxxTxwhere A=[2-10-13-10-12], and x is a non-zero vector of length 3.a)(5 pts) Find a vector x that maximizes

Task 6: Consider a function f(x) defined as,f(x)=xTAxxTxwhere A=[2-10-13-10-12], and x is a non-zero vector of length 3.a)(5 pts) Find a vector x that maximizes f(x) and determine the maximum function value.b)(5 pts) Find a vector x that minimizes f(x) and determine the minimum function value.Please also provide the steps on how to get the answers.

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