Given an iterative algorithm below Given an iterative algorithm below which defines the $k+1$ elements of vectors A and $B$ :

$A(k+1)=10-B(k)$

$B(k+1)=B(k)+\frac{A(k)}{500}$

$A(1)=10,B(1)=0$

a$.$ Find the value of A and $B$ on the $3^{rd}$ iteration.

b$.$ Find the value of A and $B$ on the ${1000}^{th}$ iteration.

c$.$ What are the steady state values of A and $B($i$.$e$.,A(k),B(k),k?$

d$.$ Create good plots of A and $B$ as a function of iteration number.which defines the k$+1$ elements of vectors A and B:

A$($k$+1)=10-$B$($k$)$;

B$($k$+1)=$B$($k$)+($A$($k$))/500$;

A$(1)=10,$ B$(1)=0$

Find the value of A and B on the $3$rd iteration.

b$.$ Find the value of A and B on the $1000$th iteration.

c$.$ What are the steady state values of A and B $($i$.$e$.,$A$($k$),$ B$($k$),$ k$->\backslash$infty $)?$

d$.$ Create good plots of A and B as a function of iteration number.

ANSWER IN MATLAB CODE PLZ