1. The problem statement, all variables and given/known data >M: L_2 -> L_2 > >(Mf)(t) = int(-pi, pi) sin(y-x)f(x) dx > >how do i find eigenvalues/vectors of M and what can i use to find >information about the spectrum? 2. Relevant equations 3. The attempt at a solution now i know that sin(y-x) = sinycosx-cosysinx i also realize that the range is 2dimensional when i went to construct f i made it = cosy + asinx so i plugged this in, but when i integrated i got 0. did i integrate wrong? or did i take the wrong approach?