LA+CH8+EX1+SOLVED+BY+강민혁+Finalized+by+이나을

2043 days ago by math2013

x,y,z = var('x, y, z') h(x,y,z) = [2*x-z, y-z] T = linear_transformation(QQ^3, QQ^2, h) x1 = vector([1,0,1]) x2 = vector([0,1,1]) x3 = vector([1,1,0]) y1 = vector([1,1]) y2 = vector([-1,1]) B = column_matrix([y1, y2, T(x1), T(x2), T(x3)]) print B print C = B.echelon_form() print C print A = C.submatrix(0,2,2,3) print A 
       
[ 1 -1  1 -1  2]
[ 1  1 -1  0  1]

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

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

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

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