4. In Example 2.8 replace .0001 by $10^{-n}$. Use three-digit floating-decimal calculations for solving the system without pivoting, and determine the positive integer values of $n$ for which the computed solution is \"significantly\" different from the true solution.
EXAMPLE 2.8.*
$0.0001x + 1.00y = 1.00$
$1.00x + 1.00y = 2.00$
The true solution rounded to five decimals is $x = 1.00010$ and $y = 0.99990$. If we proceed as above, without rearranging the equations, we obtain $-10000y = -10000$ and so we get $y = 1.00$ and $x = 0.00$, quite different from the true solution. However if we rewrite