Linear Algebra(functionals, linear independence)

  • Thread starter Fringhe
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Homework Statement


Define linear functionals lk on Pn by
lk(p) = p(tk)
Show that the lk are linearly independent.


Homework Equations


q1(t)= (t-t2)(t-t3)...(t-tn)

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.

Homework Statement





Homework Equations





The Attempt at a Solution

 

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