Was going over my notes on Gram-Schmidt procedure and came across a
problem..
given P2 (R) consider and inner product given by
<p,q> = integral from 0 to 1 p(x)q(x) dx
need to apply G-S procedure to the basis (1,x,x^2) to produce
orthonormal basis of P2(R).
--
Also, staying on the same topic if given a list of vectors, say in
R^3, and if any two vectors of that set are orthogonal to each other,
what does it mean in terms of applying G-S to that set find an
orthonormal basis?
thanks in advance, any comments are appreaciated.
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