Use the inner product = p(-1)q(−1) +p(0)q(0) + p(3)q(3) in P₃ to find the orthogonal projection of p(x) = 4x² + 5x - 7

Question

Use the inner product
< p,q>= p(-1)q(−1) +p(0)q(0) + p(3)q(3) in P₃ to find the orthogonal projection of p(x) = 4x² + 5x - 7 onto the line L spanned by q(x) = 4x²-3x - 2.
projL(p) =

Kunduz · Accepted Answer

Click to see the answer

Use the inner product < p,q>= p(-1)q(−1) +p(0)q(0