how to solve system of equation using Gaussian Elimination or Gauss-Jordan

How would I solve for x,y,z variables for this given system of equations using Gaussian elimination or Gauss-Jordan Elimination (which ever is easiest).

5x − 2y + 4z = 17

x + y + z = 9

4x − 3y + 3z = 8

[Muhammad Usman]

I guess you are new to MATLAB, there are builtin function for Guass Jordon Elimination which you can look in the link:

https://www.mathworks.com/help/matlab/ref/rref.html

under the section Solve System of Equations.

and for Guass Elimination you can look the answer asked before

https://www.mathworks.com/matlabcentral/answers/43397-performing-gauss-elimination-with-matlab

I think it might help you alot.

Answer 1

[Sai Bhargav Avula]

Hi,

As Mr. Usaman mentioned you follow the given links to solve the system of equations.

I just wanted to add the simple code that might help you

A = [5 -2 4; 1 1 1; 4 -3 3]; 
B = [17 9 8]'; 
X = [A B]; 
R = rref(X) 

R would be In Reduced Row echelon form which can further solved to solve for the variables.

But from numerical standpoint to solve for the x,y,z using R = A\B would be more efficient. This calculates the least square solution.

Hope this helps!