use [tex] instead of [tex]
img.top {vertical-align:15%;} , and let S be the subspace of all polynomials p(x) satisfying
Find the orthogonal complement of S with respect to the inner product
<p,q> = p(-1)q(-1) +p(0)q(0) + p(1)q(1)
And find the polynomial in S which is closest to 1 + x _ x^2
Thanks for any help.
" alt=" Let V be , and let S be the subspace of all polynomials p(x) satisfying
Find the orthogonal complement of S with respect to the inner product
<p,q> = p(-1)q(-1) +p(0)q(0) + p(1)q(1)
And find the polynomial in S which is closest to 1 + x _ x^2
Thanks for any help.
" />
Hi again, i attempted it a few days ago before moving onto other modules i have. but i know the orthogonal complement is a space where each vector is orthogonal to each vector in the subspace S. orthogonal meaning the inner product of two vectors if orthogonal to each other equal zero (or pi).