$45$ points

Determine the node voltages using Gauss$-$jacobi method. Fill in the tabulated results. Terminate if Ea $0\mathrm{.}0001$ for all variables. Note when simplitying equations transpose all constants on the left side of the equation and the unknown variables on the right side.

Nodal Equations:

$2V_2+2v_3-v_1-5=5+2v_1+4v_3-3v_2$

$4v_2-3v_1-2v_3+13=-5v_3+2v_1-7v_2$

$V_3-4v_1-V_2+13=-9+4v_2+3v_1-2v_3$

$\backslash$table$[[$K$,v_1[$new$],$ new