Calculus In Exercises 6568, show that f and g areorthogonal in the inner product space
Chapter 5, Problem 66(choose chapter or problem)
Calculus In Exercises 65 - 68, show that f and g are orthogonal in the inner product space C[a, b] with the inner product
\(\langle f, g\rangle=\int_{a}^{b} f(x) g(x) d x\)
\(C[-1,1], \quad f(x)=x, \quad g(x)=\frac{1}{2}\left(3 x^{2}-1\right)\)
Text Transcription:
langle f, g rangle = int_a^b f(x) g(x) dx
C[-1, 1], f(x) = x, g(x) = 1 / 2 (3x^2 - 1)
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