Algebra: Linear Equations

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Wai Han
Wai Han on 25 Oct 2020
Commented: Ameer Hamza on 25 Oct 2020
How can I solve this linear systems without using Symbolic toolbox?
a*x + b*y = c1
c*x + d*y + e*z = c2
f*y + g*z = c3
% where a,b,c,d,e,f,g and c1,c2,c3 are constants.
% I need to solve this for Kirchhoff's first law without the symbolic math toolbox.
Thank you so much.

Accepted Answer

Ameer Hamza
Ameer Hamza on 25 Oct 2020
If the value of these constants are known, then you can use mldivide: https://www.mathworks.com/help/matlab/ref/mldivide.html
a = 1;
b = 2;
c = 1.4;
d = 1.2;
e = 2.1;
f = 3.2;
g = 1.1;
c1 = 1;
c2 = 2;
c3 = 3;
A = [a b 0;
c d e;
0 f g];
B = [c1; c2; c3];
sol = A\B;
x = sol(1);
y = sol(2);
z = sol(3);
  2 Comments
Wai Han
Wai Han on 25 Oct 2020
Thanks Ameer Hamza.
Ameer Hamza
Ameer Hamza on 25 Oct 2020
I am glad to be of help!

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