1/12(-5 | 3 | 4 7 | 3 | -8 1 | -3 | 4)
(-5/12 | 1/4 | 1/3 7/12 | 1/4 | -2/3 1/12 | -1/4 | 1/3)
3 (rows) × 3 (columns)
(-5/12 | 7/12 | 1/12 1/4 | 1/4 | -1/4 1/3 | -2/3 | 1/3)
1/6
-1/12
-λ^3 + λ^2/6 + λ/2 - 1/12
λ_1 = -1/sqrt(2)
λ_2 = 1/sqrt(2)
λ_3 = 1/6
v_1 = (1/7 (-13 - 9 sqrt(2)), 1/7 (5 + 11 sqrt(2)), 1)
v_2 = (1/7 (-13 + 9 sqrt(2)), 1/7 (5 - 11 sqrt(2)), 1)
v_3 = (1, 1, 1)
(-5/12 | 1/4 | 1/3 7/12 | 1/4 | -2/3 1/12 | -1/4 | 1/3) = P.D.P^(-1) where P≈(1 | -3.67542 | -0.0388683 1 | 2.93662 | -1.50805 1 | 1 | 1) D≈(0.166667 | 0 | 0 0 | -0.707107 | 0 0 | 0 | 0.707107) P^(-1)≈(0.323529 | 0.264706 | 0.411765 -0.182562 | 0.0756196 | 0.106942 -0.140967 | -0.340326 | 0.481293)
9