The elements of the coefficient matrix $\backslash ($ A $\backslash )$ are known exactly and the elements of the right$-$hand$-$side vector $\backslash (\backslash$boldsymbol$\{$b$\}\backslash )$ are known exactly. From the above MATLAB results it can be deduced that the $1-$norm condition number of the matrix $\backslash ($ A $\backslash )$ is about $\backslash (1\mathrm{.}8$ E $5\backslash ).$

$($i$)$ Give an estimate on the relative error in the computed solution to $\backslash (\backslash$boldsymbol$\{$A x$\}=\backslash$boldsymbol$\{$b$\}\backslash ).\backslash (2$ E $5\backslash )$

$0$

$\backslash (8$ E$-11\backslash )$

$\backslash (4$ E$-16\backslash )$

$($ii$)$ How many significant figures do you have in the computed solution?