Warning: Solution does not exist because the system is inconsistent.

I'm not sure whats wrong with my code here, but it wont solve the system of equations. Maybe I'm missing something.

w1 = 0.05*pi;
w2 = 0.1*pi;
w3 = 0.2*pi;

syms b1 b2 b3

Bw1 = 2*b1*cos(2*w1)+2*b2*cos(2*w1)+b3 == 0;
Bw2 = 2*b1*cos(2*w2)+2*b2*cos(2*w2)+b3 == 1;
Bw3 = 2*b1*cos(2*w3)+2*b2*cos(2*w3)+b3 == 0;

[A,B] = equationsToMatrix([Bw1, Bw2, Bw3], [b1, b2, b3]);

X = linsolve(A,B);

[Daniel Pollard]

I've not used the symbolic toolbox, but I'd have a guess that if it says "the system is inconistent" and won't solve your system of equations, I'd have a guess that perhaps your equations aren't consistent with each other.

Answer 1

[Bjorn Gustavsson]

Have a look at the equations. If you rewrite them you will get:

Bw1 = ( b1 + b2 ) * 2*cos(2*w1) + b3 == 0;
Bw2 = ( b1 + b2 ) * 2*cos(2*w2) + b3 == 1;
Bw3 = ( b1 + b2 ) * 2*cos(2*w3) + b3 == 0;

That will explicitly show you that you can only solve for b3 and the sum of b2 and b1.

HTH

[Max Rothstein]

Thank you, that makes sense.