clc

syms x y;

w1= [1 2 3];
w2= [4 5 6];
w3= [7 8 9];

A = [w1; w2; w3];
B = [w1; w2];
C = [w1; w3];
D = [w2; w3];

fprintf('rankA = %f\n', rank(A))
fprintf('rankB = %f\n', rank(B))
fprintf('rankC = %f\n', rank(C))
fprintf('rankD = %f\n', rank(D))

fprintf('Równanie 1:')
result0 = solve((x*w1+y*w2)-w3, x, y);
fprintf('x= %f\ny=%f\n', double(result0.x), double(result0.y))

fprintf('Równanie 2:')
result1 = solve((x*w1+y*w3)-w2, x, y);
fprintf('x= %f\ny=%f\n', double(result1.x), double(result1.y))

fprintf('Równanie 3:')
result2 = solve((x*w2+y*w3)-w1, x, y);
fprintf('x= %f\ny=%f\n', double(result2.x), double(result2.y))