Consider the function f $($x$,$ y$)=10$x$420$x$2$y $+$ x$2+10$y$22$x $+1.$ Write

a code in your chosen programming language to find a stationary point of

this function using gradient descent where the step size $\backslash$alpha is chosen using

Armijos Rule described in Section $4\mathrm{.}4\mathrm{.}3\mathrm{.}3$ in T$2.$

Deliverables: The handwritten code used to find the minimum by Armijo$$s

Rule enabled gradient descent. The first $10$ iterates of the gradient de$-$

scent algorithm where the individual iterates of x$,$ y$,\backslash$alpha $,$ f $($x$,$ y$)$ should be

d$=$written $($the output of the code$)$ separately to show the progress of gra$-$

dient descent scheme. Also mention the optimal points x$,$ y$$ and f $($x$,$ y$)$

obtained by the converged algorithm and all the parameters chosen in the

Armijo$$s Rule.