Question: Given an iterative algorithm below which defines the + 1 elements of vectors and : ( + 1 ) = 1 0 ( ) (

Given an iterative algorithm below which defines the +1 elements of vectors and : (+1)=10()(+1)=()+()500(1)=10,(1)=0a. Find the value of A and B on the 3rd iteration. b. Find the value of A and B on the 1000th iteration. c. What are the steady state values of A and B (i.e.,(),(),)? d. Create good plots of A and B as a function of iteration number.

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