LA+Chapter8+Ex+1-서승완

2037 days ago by math2013

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

[ 1  0  2 -1]
[ 0  1  2  0]

[ 2 -1]
[ 2  0]
[ 1 -1  0 -1]
[ 1  0  2 -1]

[ 1  0  2 -1]
[ 0  1  2  0]

[ 2 -1]
[ 2  0]