$(50$points$)$ Consider the system of following linear equations

$1\mathrm{.}5x_1-3\mathrm{.}4x_2+17\mathrm{.}4x_3-6\mathrm{.}7x_4+20x_5=b_1$

$-17x_1-3\mathrm{.}2x_2+19\mathrm{.}4x_3+5\mathrm{.}7x_4+13x_5=b_2$

$2\mathrm{.}1x_1+14\mathrm{.}4x_3-x_4+11x_5=b_3$

$8\mathrm{.}99x_1-7\mathrm{.}1x_2+2\mathrm{.}6x_3+3\mathrm{.}1x_4+x_5=b_4$

$-9\mathrm{.}2x_2+29x_3+5x_4+20x_5=b_5$

Suppose that the exact solution vector of the above given system is vector such that all elments are $1.$ After solving the given system by Gaussian elimination with trivial pivoting method, find the error in format long for the approximate solution.

Your answer:

$4\mathrm{.}110030042427914$e$-14$

none

$4\mathrm{.}110030042422914e-14$

$4\mathrm{.}210030042427914e-14$

$4\mathrm{.}110030342427914e-14$