Write a script in Matlab that constructs the matrix, X $=$ rand$(100,2)$ and vector y $=$ rand$(100,1).$ Construct the augmented matrix X$\_$hat $=[1|$ X $].$ Calculate the error, e $=[$e$1$ e$2...$ e$100]\text{'}$ for the mathematical model, f$($x$,$y$)=$ m$\_$y$*$y $+$ m$\_$x$*$x $+$ b where u$\_0=[$ b$\_0$ m$\_$x$\_0$ m$\_$y$\_0]\text{'}=$ randn$(3,1).$ Calculate the gradient for C$($x$,$y$)=$ sqrt$(($y $-$ f$($x$,$y$))^2)$ knowing e$\_$i $=$ y$\_$i $-$ f$($x$\_$i$,$y$\_$i$).$ Update your parameters m$\_$y$,$ m$\_$x$,$ and b using the three update rules m$\_$y$($k$+1)=$ m$\_$y$($k$)+$ mu$*$Grad$\_$m$\_$y$,$ m$\_$x$($k$+1)=$ m$\_$x$($k$)+$ mu$*$Grad$\_$m$\_$x$,$ and b$($k$+1)=$ b$($k$)+$ mu$*$Grad$\_$b$.$ Do this for $5$ iterations.