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$)+($A$($k$)/500)$

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

Part a: find the values of A & B on the $3$rd iteration

Part b: Find the values of A & B on the $1000$th interation

Part c: What are the steady state values of A & B $($I$.$e$.,$ A$($k$),$ B$($k$),$ k $=\backslash$infty

Part d: Create good plots of A & Bas a function of iteration number

Give matlab code for all parts