Given the following set of functions:
$1,\sin(x),\sin(2x),\sin(3x), \cdots, \sin(nx)$ (n is integer, n>0)
The thing to be done is to prove that the set of functions is linearly independent using mathematical induction.
I googled for common tasks, now it is clear that mathematical induction will work fine, but I have no idea of how to do it.
How to apply the method here?
Tuesday, 26 March 2013
abstract algebra - Prove linear independence using mathematical induction
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