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

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Ann Little
Ann Little 2019-12-4
回答： Sai Bhargav Avula 2019-12-6
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
  1 个评论
Muhammad Usman
Muhammad Usman 2019-12-4
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.

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回答（1 个）

Sai Bhargav Avula
Sai Bhargav Avula 2019-12-6
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!

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