A variation on the Fourier matrix is the sine matrix: S = 1 2 sin sin2 sin3 sin2 sin4
Chapter 5, Problem 5.24(choose chapter or problem)
A variation on the Fourier matrix is the sine matrix: S = 1 2 sin sin2 sin3 sin2 sin4 sin6 sin3 sin6 sin9 with = 4 . Verify that S T = S 1 . (The columns are the eigenvectors of the tridiagonal 1, 2, 1 matrix.)
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer