Lagrange Polynomials Questions

1. Jan 22, 2009

e.gedge

Lagrange Polynomals are defined by:

lj(t)= (t-a0) ....(t-aj-1)(t-aj+1)...(t-an) / (aj-a0)...(aj-aj-1)(aj-aj+1)...(aj-an)

A) compute the lagrange polynomials associated with a0=1, a1=2, a2=3. Evaluate lj(ai).

B) prove that (l0, l1, .... ln) form a basis for R[t] less than or equal to n.

C) Deduce the Lagrange interpolation formula.

Thanks!!

2. Jan 22, 2009

IDimitrov

I suggest that rather than asking for help on my homework assignments in a forum where it specifically states "this is not for homework" that you instead come to the tutorials.