How can i solve this using MATLAB ?

 2=0.04*F1+0.54*F2+0.26*F3;
 6=0.93*F1+0.24*F2+0*F3;
 2=0.03*F1+0.22*F2+0.74*F3;

Answer 1

[Mischa Kim]

Bello, if you have access to the Symbolic Math Toolbox:

 syms F1 F2 F3
 sol = solve([2==0.04*F1+0.54*F2+0.26*F3,...
              6==0.93*F1+0.24*F2+0*F3,...
              2==0.03*F1+0.22*F2+0.74*F3], [F1,F2,F3])

 sol.F1
 ans =
 1520/261

Answer 2

[Star Strider]

Or you can use mrdivide to solve it as a matrix equation in core MATLAB:

F = [0.04 0.54 0.26; 0.93 0.24 0; 0.03 0.22 0.74]\[2; 6; 2];
[F1,F2,F3] = deal(F(1), F(2), F(3))

produces:

F1 =
     5.8238e+000

F2 =
     2.4330e+000

F3 =
     1.7433e+000