Homework Statement
problem didn't state, but I assume let V be a vector space: V = C^3 and scalar is C
Homework Equations
Define a non-zero linear functional T on C^3 such that T ((1, 1, 1)) = T ((1, 1, −1)) = 0
The Attempt at a Solution
So let X1 = (1, 1, 1); X2 = (1, 1, -1);
It...