- #1
Shaunzio
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Homework Statement
show that if we define the following operation:
let f=f(x) and g=g(x) be two functions in C[a,b] and define <f,g>=int(a to b) f(x)g(x)dx
show that the conditions of therom are satisified with this operation. Use h=h(x) to help with part b
this shows that this operation is an inner product
therom
Homework Equations
a. u dot v = v dot u
b. (u+v) dot w = u dot w + v dot w
c. (cu) dot v = c(u dot v) = u dot (cv)
d. u dot u >= 0, and u dot u = 0 if and only if u = 0
The Attempt at a Solution
I really have no idea where to begin here...