Question

Solve using Gauss Jacobi Iteration method 
2𝒙 + 12y + z – 4w = 13
13𝒙 + 5y - 3z + w = 18
2𝒙 + y – 3z + 9w = 31
3𝒙 - 4y + 10z + w = 29

Answer 1

`x=(18-5y+3z-w)`

`y=(13-2x-z+4w)`

`z=(29-3x+4y-w)`

`w=(31-2x-y+3z)/9`

Iteration	x	y	z	w
1	1.3846	1.0833	2.9	3.4444
2	1.3722	1.7590	2.5735	3.9831
3	0.9956	1.9679	2.7936	3.8019
4	0.9800	1.9519	3.0083	3.9357
5	1.0254	1.9812	2.9932	4.0126
6	1.0047	2.0005	2.9836	3.9942
7	0.9965	1.9987	2.9994
8	1.0009	1.9984	3.0012
9	1.0008	2.0000	2.9990
10	0.9997	2.0001	2.9997
11	0.9999	1.9999	3.0002
12	1.0001	2	3
13	1	2	3

∴ x = 1, y = 2, z = 3, w = 4.