$2x_1-6x_2+14x_3=4$

$-4x_1-8x_2+6x_3=2$

$-x_1+13x_2-21x_3=2$

$(2)[30$ points$]$ Write a MATLAB code using rref to solve the above equation by the Gauss$-$Jordan method. Paste the following:

i$.$ MATLAB code

ii$.$ The Reduced Row Echelon Form

iii. Your solution to the equation

$(3)[30$ points$]$ Write a MATLAB code using rref to solve the following equation by the Gauss$-$Jordan method. Paste the following:

i$.$ MATLAB code

ii$.$ The Reduced Row Echelon Form

iii. Your solution to the equation

$9\mathrm{.}3746x_1+3\mathrm{.}0416x_2-2\mathrm{.}4371x_3=9\mathrm{.}2333$

$3\mathrm{.}0416x_1+6\mathrm{.}1832x_2+1\mathrm{.}2163x_3=8\mathrm{.}2049$

$-2\mathrm{.}4371x_1+1\mathrm{.}2163x_2+8\mathrm{.}4429x_3=3\mathrm{.}9339$