Question

So we had a matrix like $$ \matrix{12,32\cr24,12\cr..., ... \cr}$$ with length $N*2$ and another matrix $$ \matrix{44,32\cr44,19\cr..., ... \cr}$$ with length $N*2$ and there is some function $ f(x, y) $ that returns $ z, t $. That 2 matrices that we were given represent known value pairs for $x,y$ and $z,t$ What are interpolation formulas that would help in such case?