1
4.15 Carry out the first three iterations of the solution of the following system of equations using the
Gauss–Seidel iterative method. For the first guess of the solution, take the value of all the unknowns to be
zero.
.
8x12x23x3
++ 51=
2x15x2x3
++ 23=
3x1
–x26x3
++ 20=
x31() 20 3 3.9750()6.9167–+ 6
----------------------------------------------------------- 4.1681==