- #1
Jay9313
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Homework Statement
A set of functions, F, is given below. Determine the size of the largest subset of F which is mutually orthogonal on the interval [-1, 1], and find all such subsets of this size. Show all of your work.
F = { 1, x, x2 , sin(x), cos(x), cosh(x), sinh(x)}
Homework Equations
Not really any relevant equations, but I am aware that for a function to be orthogonal on symmetric bounds, the integral of the product of the functions on those symmetric bounds must be equal to 0.
The Attempt at a Solution
I have yet to complete an attempt because I'm not quite sure how to start. Any help would be appreciated.
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