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

$(1)$

$=$

$0$

$$ What are the steady state values of A and B