CODE WITH MATLAB $(35$ points$)$ Consider the system of following linear equations

$-0\mathrm{.}24x_1+2\mathrm{.}45x_2+3\mathrm{.}2x_3-1\mathrm{.}56x_4+2\mathrm{.}598x_5+8\mathrm{.}97x_6+5\mathrm{.}43x_7=3$

$2\mathrm{.}12x_1-6\mathrm{.}2x_2+3\mathrm{.}5x_3-2\mathrm{.}52x_4+1\mathrm{.}6x_5+2\mathrm{.}5x_6+1\mathrm{.}3x_7=4$

$4\mathrm{.}1x_1-2\mathrm{.}3x_2-8\mathrm{.}7x_3+9\mathrm{.}5x_4+x_5+3\mathrm{.}7x_6-1\mathrm{.}6x_7=6$

$2x_1+3\mathrm{.}2x_2+1\mathrm{.}4x_3+7\mathrm{.}5x_4+8\mathrm{.}9x_5+0\mathrm{.}2x_6+3\mathrm{.}2x_7=7$

$x_1+3x_2+6x_3+3\mathrm{.}4x_4+5\mathrm{.}2x_5+8\mathrm{.}4x_6-0\mathrm{.}3x_7=8$

$1\mathrm{.}1x_1+9\mathrm{.}3x_2+2\mathrm{.}56x_3+9\mathrm{.}3x_4+8\mathrm{.}7x_5+2\mathrm{.}4x_6+9\mathrm{.}45x_7=9$

$3x_1+4x_2+6x_3+8x_4+9x_5-3x_6+8x_7=12$

Find the solution vector in format short after solving the given system by Gaussian elimination with partial pivoting method on MATLAB.