LA+Chapter+8+Ex+4+배성준

2048 days ago by math2013

x,y = var('x, y') h(x,y) = [x+y, x-3*y, -2*x+y] T = linear_transformation(QQ^2, QQ^3, h) x1 = vector([1,1]) x2 = vector([2,1]) y1 = vector([1,0,-1]) y2 = vector([-1,2,1]) y3 = vector([0,1,1]) B = column_matrix([y1, y2, y3, T(x1), T(x2)]) B = column_matrix([y1, y2, y3, T(x1), T(x2)]) print B print C = B.echelon_form() print C print A = C.submatrix(0,3,3,2) print A 
       
[ 1 -1  0  2  3]
[ 0  2  1 -2 -1]
[-1  1  1 -1 -3]

[   1    0    0  1/2  5/2]
[   0    1    0 -3/2 -1/2]
[   0    0    1    1    0]

[ 1/2  5/2]
[-3/2 -1/2]
[   1    0]
[ 1 -1  0  2  3]
[ 0  2  1 -2 -1]
[-1  1  1 -1 -3]

[   1    0    0  1/2  5/2]
[   0    1    0 -3/2 -1/2]
[   0    0    1    1    0]

[ 1/2  5/2]
[-3/2 -1/2]
[   1    0]