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

equationMATLABmatrix manipulation

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);

Best Answer

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
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