1. The problem statement, all variables and given/known data A = [ b c ... 0000000000000000000 ] [ c b c ... .000000000000000 0] [ ... ] [ 000000000000000000 c b c ] [ 000000000000000000 b c ] where a,b are real. This matrix is tridigonal and symmetric. I need to show that this matrix has e-values lamda_i = b +2cos((i * pi)/(N+1)) and e-vectors x_i = [sin ((i* pi)/(N+1), sin ((2*i*pi)/(N+1)), ...., sin((N*i*pi)/(N+1))] 2. Relevant equations 3. The attempt at a solution I could find the deterministic equation to find the e-values but i don't see how that gives rise to trigonometric functions.