Define linear functionals lk on Pn by
lk(p) = p(tk)
Show that the lk are linearly independent.
The Attempt at a Solution
I really don't know where to start. I do have the following equation:
If the lks are linearly independent then there exits as such that
a1l1(k)+...+anln(k)=0 where all the as=0.
That's all I have. I don't see how can I can incorporate the hint given.