Solving Matrix Equations With Unknown at Both Sides

Hello,

How can I solve matrix equations in Matlab? Consider following case:

Thank you

Answer 1

[Matt J]

Since these are linear equations, you would re-arrange in the form

Matrix*[T1;T3;F2] =[4; 0; 5]

and solve normally.

Answer 2

[Matt J]

T1=optimvar('T1');
T2=optimvar('T2');
F2=optimvar('F2');

prob=eqnproblem;
prob.Equations.eqn=[1 -0.5 4;-0.5 2 0; 4 0 3]*[T1;0;T2]==[4;F2;5];

sol=solve(prob)

Solving problem using lsqlin.

sol = struct with fields:
    F2: -0.3077
    T1: 0.6154
    T2: 0.8462

Answer 3

[Torsten]

syms T1 T3 F2
eqns = [1 -0.5 4;-0.5 2 0; 4 0 3]*[T1;0;T3]==[4;F2;5];
solve(eqns)

ans = struct with fields:
    F2: -4/13
    T1: 8/13
    T3: 11/13