Solving non linear equations in a 4x2 matrix

Hello,

I am trying to calculate the roots of a system of non-linear equations:

[1 1;x y;x^2 y^2;x^3 y^3]*[a;b]=[2;0;2/3;0]

x,y,a, and b are unknowns

When i try to solve the system it gives ans=struct with fields.

can someone help out

Answer 1

[Ameer Hamza]

If you have symbolic toolbox, you can use solve() function

syms x y a b

eq = [1 1;x y;x^2 y^2;x^3 y^3]*[a;b]==[2;0;2/3;0];
sol = solve(eq);

The system have two solutions. sol is a struct. You can access the solution like this

>> sol.x
ans =
 3^(1/2)/3
-3^(1/2)/3
>> sol.y
ans =
-3^(1/2)/3
 3^(1/2)/3
>> sol.a
ans =
1
1
>> sol.b
ans =
1
1

[Ali Awada]

thanks for clarifying it! much appreciated!

as a side question is there a way to display the solution instead of accessing it one by one?

[Ameer Hamza]

You can do something like this

syms x y a b

eq = [1 1;x y;x^2 y^2;x^3 y^3]*[a;b]==[2;0;2/3;0];
sol = struct2cell(solve(eq));
sol = [sol{:}];
first_sol = sol(1,:);
second_sol = sol(2,:);

[Ali Awada]

Thanks!

[Ameer Hamza]

I am glad to be of help!!!