MATLAB: Ax=b solution with singular matrix.

fsolve

%x+2y+3z=14

%4x+5y+6z=32

%7x+8y+9z=41

(actually, x=1,y=2,z=3)

A=[1 2 3;4 5 6;7 8 9]

b=[14;32;41]

x=A\b

Warning: Matrix is close to singular or badly scaled. Results may be inaccurate. RCOND = 1.093272e-16.

%in order to eliminate this singularity singular value decomposition strongly recommended.

How can I perform svd for solving this equation properly?

 pinv(A)*b

% plane z=x,
figure
hold on
fsurf(@(x,y) x)
% plane z = y
fsurf(@(x,y) y)
view(3)

A = [2 3 4; 5 6 7; 1 1 0]; 
B = [43; 65; 11];
V = A\B;