solve system of linear equation with parallel MPI just one scatter and one allGather with minimum communcation
- not implemnet matrix inverse
--
a + b - 2c + d + 3e - f = 4
2a - b + c + 2d + e - 3f = 20
a + 3b - 3c - d + 2e + f = -15
5a + 2b - c - d + 2e + f = - 3
-3a - b + 2c + 3d + e + 3f = 16
4a + 3b + c - 6d - 3e - 2f = -27
1, 1, -2, 1, 3, -1
2, -1, 1, 2, 1, -3
1, 3, -3, -1, 2, 1
5, 2, -1, -1, 2, 1
-3, 1, 2, 3, 1, 3
4, 3, 1, -6, -3, -2
4
20
-15
-3
16
-27
a = 1
b = -2
c = 3
d = 4
e = 2
f = -1
###ResultOf Multiblication without invers
126,
64,
117,
83,
-96,
85,
-28/71 31/142 14/71 13/71 -5/71 -13/142
-103/284 109/284 79/142 -23/142 45/284 23/284
345/568 -139/568 -175/284 15/284 125/568 127/568
-537/568 367/568 223/284 -11/284 3/568 -131/568
713/568 -363/568 -267/284 31/284 69/568 111/568
-43/284 -51/284 -7/142 29/142 5/284 -29/284