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How to prove orthogonality on a set of functions?
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[QUOTE="Jay9313, post: 4580241, member: 352823"] [h2]Homework Statement [/h2] 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, x[SUP]2[/SUP] , sin(x), cos(x), cosh(x), sinh(x)}[h2]Homework Equations[/h2] 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.[h2]The Attempt at a Solution[/h2] I have yet to complete an attempt because I'm not quite sure how to start. Any help would be appreciated. [/QUOTE]
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How to prove orthogonality on a set of functions?
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