Let f(z) = -7, g(z) = -3r -9 and h(z) = 8z. Consider the inner proouct (P.e) = Pz)q(=) dz in the vector space P(R) of polynomials. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace spanned by the functions f(2) 9(z), and h(z). { }.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Let
f(z) = -7, g(z) = -3z - 9 and h(z) = 8z".
Consider the inner procuct
(p, 9)
in the vector space P(R) of polynomials. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace spanned by the functions f(2)
9(z), and h(z).
{
Transcribed Image Text:Let f(z) = -7, g(z) = -3z - 9 and h(z) = 8z". Consider the inner procuct (p, 9) in the vector space P(R) of polynomials. Use the Gram-Schmidt process to determine an orthonormal basis for the subspace spanned by the functions f(2) 9(z), and h(z). {
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