LA+Chapter+6+Ex+2+solved+by+이승열

2085 days ago by math2013

x, y, z = var('x y z') h(x, y, z) = [x-y, y-z, z-x] T = linear_transformation(QQ^3, QQ^3, h) C = T.matrix(side='right') print T print C 
       
Vector space morphism represented by the matrix:
[ 1  0 -1]
[-1  1  0]
[ 0 -1  1]
Domain: Vector space of dimension 3 over Rational Field
Codomain: Vector space of dimension 3 over Rational Field
[ 1 -1  0]
[ 0  1 -1]
[-1  0  1]
Vector space morphism represented by the matrix:
[ 1  0 -1]
[-1  1  0]
[ 0 -1  1]
Domain: Vector space of dimension 3 over Rational Field
Codomain: Vector space of dimension 3 over Rational Field
[ 1 -1  0]
[ 0  1 -1]
[-1  0  1]