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(30 pts) Let f(x)=?4, g(x)=?7x+2 and h(x)=?2x2. Consider the inner product ?f,g?

ID: 3422024 • Letter: #

Question

(30 pts) Let

f(x)=?4, g(x)=?7x+2  and  h(x)=?2x2.

Consider the inner product

?f,g?=?40f(x)g(x)dx

in the vector space C[0,4] of continuous functions on the interval [0,4].

Use the Gram-Schmidt process to determine an orthonormal basis Bˆ? for the subspace of C[0,4] spanned by functions f(x), g(x), and h(x).

i've been trying it for more than an hour already and nothing please help!

(30 pts) Let Consider the inner product 4 ,9)=1 f(x)g(x) dx 0 in the vector space C(O, 4 of continuous functions on the interval [0,4. Use the Gram-Schmidt process to determine an orthonormal basis B1 for the subspace of C[0, 4 spanned by functions f(x), g(), and h(x). BL={ -1/2 ,(-7x+14)sqrt(2512/3) (-2xA2-18.99+66.4656x)/sqrt(819.

Explanation / Answer

(30 pts) Let f(x)=?4, g(x)=?7x+2 and h(x)=?2x2. Consider the inner product ?f,g?