A= [1 1 0] [0 1 2] [1 2 1] G= [ 1 1 0] [-1/2 1/2 2] [-2/9 2/9 -1/9] N= [ 1/2*sqrt(2) 1/2*sqrt(2) 0] [-1/3*sqrt(1/2) 1/3*sqrt(1/2) 4/3*sqrt(1/2)] [ -2/3 2/3 -1/3] A= [1 1 0] [0 1 2] [1 2 1] G= [ 1 1 0] [-1/2 1/2 2] [-2/9 2/9 -1/9] N= [ 1/2*sqrt(2) 1/2*sqrt(2) 0] [-1/3*sqrt(1/2) 1/3*sqrt(1/2) 4/3*sqrt(1/2)] [ -2/3 2/3 -1/3] |
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Q= [ 1/3*sqrt(3) -1/3*sqrt(3)*sqrt(2) 0] [ 1/3*sqrt(3) 1/6*sqrt(3)*sqrt(2) -1/2*sqrt(2)] [ 1/3*sqrt(3) 1/6*sqrt(3)*sqrt(2) 1/2*sqrt(2)] R= [ sqrt(3) 2/3*sqrt(3) 1/3*sqrt(3)] [ 0 1/3*sqrt(3)*sqrt(2) 1/6*sqrt(3)*sqrt(2)] [ 0 0 1/2*sqrt(2)] Q*R=A= [1 0 0] [1 1 0] [1 1 1] Q= [ 1/3*sqrt(3) -1/3*sqrt(3)*sqrt(2) 0] [ 1/3*sqrt(3) 1/6*sqrt(3)*sqrt(2) -1/2*sqrt(2)] [ 1/3*sqrt(3) 1/6*sqrt(3)*sqrt(2) 1/2*sqrt(2)] R= [ sqrt(3) 2/3*sqrt(3) 1/3*sqrt(3)] [ 0 1/3*sqrt(3)*sqrt(2) 1/6*sqrt(3)*sqrt(2)] [ 0 0 1/2*sqrt(2)] Q*R=A= [1 0 0] [1 1 0] [1 1 1] |
(1/8, 17/8, -5/4) (1/8, 17/8, -5/4) |
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