Home > Matrix & Vector calculators > Solving systems of linear equations using Gauss Jacobi 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
 Problem: Gauss Jacobi 7y+2x=11,3x-y=5 [ Calculator, Method and examples ]Solution:Your problem -> Gauss Jacobi 7y+2x=11,3x-y=5Total Equations are 22x+7y=113x-y=5The 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=52x+7y=11From the above equationsx=1/3(5+y)y=1/7(11-2x)Solution steps are1^(st) Approximationx_1=1/3[5+(0)]=1/3[5]=1.666667y_1=1/7[11-2(0)]=1/7[11]=1.5714292^(nd) Approximationx_2=1/3[5+(1.571429)]=1/3[6.571429]=2.190476y_2=1/7[11-2(1.666667)]=1/7[7.666667]=1.0952383^(rd) Approximationx_3=1/3[5+(1.095238)]=1/3[6.095238]=2.031746

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