diagonalize {{1, 1/2, 1/3, 1/4, 1/5}, {0, 1/2, 1/3, 1/4, 1/5}, {0, 0, 1/3, 1/4, 1/5}, {0, 0, 0, 1/4, 1/5}, {0, 0, 0, 0, 1/5}}