Question $2$

$3$ pts

Use the Gauss$-$Sidel method $($two iterations$)$ to solve the following system $($hand$-$calculation only$)$:

$0\mathrm{.}8x_1-0\mathrm{.}4x_2=41$

$-0\mathrm{.}4x_1+0\mathrm{.}8x_2-0\mathrm{.}4x_3=25$

$-0\mathrm{.}4x_2+0\mathrm{.}8x_3=105$

select the correct responses:

$15$ iteration: $x_1=48\mathrm{.}43$

$1$st iteration: $x_1=51\mathrm{.}25$

$1$st iteration: $x_2=53\mathrm{.}42$

$1$st iteration: $x_2=56\mathrm{.}88$

$2$nd iteration: $x_3=206\mathrm{.}72$

$2$nd iteration: $x_3=218\mathrm{.}51$