Question: Consider P 2 (R) with inner product defined by = p(-1)q(-1) + p(0)q(0) + p(1)q(1) for every in P 2 (R). Recall that p and

Consider P2(R) with inner product defined by

= p(-1)q(-1) + p(0)q(0) + p(1)q(1)

for every in P2(R). Recall that p and q are polynomials, so p(1) is the polynomial p evaluated at

x = 1.

Consider the subspace S of P2(R) that is spanned by the set B = {x + 1, x2 + 2x -2}.

1.Compute proj s(x).

2.Find projs(x).

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