Problem I a

A=[0.25,0.25^2,0.25^3,0.25^4;
    0.5,0.5^2,0.5^3,0.5^4;
    1,1^2,1^3,1^4;
    1.25,1.25^2,1.25^3,1.25^4];
b=[22.98;47.23;97.49;122.66];
x=A\b;
disp(x)