A sum of scalar multiples of two or more vectors (such as c₁u + c₂v + c₃w, where c_i are scalars) is called a linear combination of the vectors. Let i = (1, 0), j = (0, 1), u = (1, 1), and v = (-1, 1).

For arbitrary real numbers a and b, express (a, b) as a linear combination of u and v.