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Let {p0, p1, p2} be a basis for a subspace V of ℙ3, where the pi...

Let {p0, p1, p2} be a basis for a subspace V of ℙ3, where the pi are given below, and let the inner product for ℙ3 be given by evaluation at 0, 1, 2, 3, so <p,q> = p(0)q(0)+p(1)q(1)+p(2)q(2)+p(3)q(3). Use the Gram-Schmidt process to produce an orthogonal basis {q0, q1, q2} for V and enter the qi below.
p0 = x−1
p1 = x2−2x+2
p2 = −3x2+2x

q0 =

q1 =

q2 =

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Answer #1

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