MATHLAB HELP PLS$!$ Minimize the function $f(x)=6x_1^2-6x_1{x}_2+2x_2^2-x_1-2x_2$ where $-12\mathrm{.}5x_{1}13,-12\mathrm{.}5x_{2}13,x_1=x_2=0\mathrm{.}1.(60$ pts$.)$

a$)$ Write a matlab code to find the minimum in the given interval by using Genetic Algorithms, $($Note: you are free to select other parameters $-$ probability of mutation, maximum number of iterations, maximum permissible standard deviation,..., Etc.$)(40$ pts$.)$

b$)$ Plot the initial and the final population with the fitness function to show the convergence. $(15$ pts$.)$

c$)$ Validate your solution with another numerical or analytical method. $(5$ pts$.)$