Home > Matrix Algebra calculators > Solving systems of linear equations using Gauss Seidel method calculator

Solve any problem
(step by step solutions)
Input table (Matrix, Statistics)
Mode :
SolutionHelp
Solution will be displayed step by step (In 2 parts)
Solution
Find Gauss Seidel 7y+2x=11,3x-y=5

Solution:
Your problem `->` Gauss Seidel 7y+2x=11,3x-y=5


Total Equations are `2`

`2x+7y=11`

`3x-y=5`


The coefficient matrix of the given system is not diagonally dominant.
Hence, we re-arrange the equations as follows, such that the elements in the coefficient matrix are diagonally dominant.
`3x-y=5`

`2x+7y=11`


From the above equations
`x=1/3(5+y)`

`y=1/7(11-2x)`

Solution steps are
`1^(st)` Approximation

`x_1=1/3[5+(0)]=1/3[5]=1.666667`

`y_1=1/7[11-2(1.666667)]=1/7[7.666667]=1.095238`






Solution provided by AtoZmath.com
Any wrong solution, solution improvement, feedback then Submit Here
Want to know about AtoZmath.com and me
  
 

Share with your friends, if solutions are helpful to you.
 
Copyright © 2018. All rights reserved. Terms, Privacy