ch6 ex7 new

2072 days ago by ipodsong

x1,x2,x3=var('x1 x2 x3') SM_T1(x1,x2,x3)=(5*x1-2*x2,-4*x1+3*x2+8*x3,6*x1-2*x2) SM_T2(x1,x2,x3)=(3*x1+2*x3,2*x3,x1+3*x2-3*x3) T1=linear_transformation(QQ^3, QQ^3,SM_T1) T2=linear_transformation(QQ^3, QQ^3,SM_T2) M_T1 = T1.matrix(side='right') M_T2 = T2.matrix(side='right') print "[T1] = \n",M_T1 print "[T2] = \n",M_T2 print "[T2*T1] = \n",M_T2*M_T1 print "[T1*T2]= \n",M_T1*M_T2 
       
[T1] = 
[ 5 -2  0]
[-4  3  8]
[ 6 -2  0]
[T2] = 
[ 3  0  2]
[ 0  0  2]
[ 1  3 -3]
[T2*T1] = 
[ 27 -10   0]
[ 12  -4   0]
[-25  13  24]
[T1*T2]= 
[ 15   0   6]
[ -4  24 -26]
[ 18   0   8]
[T1] = 
[ 5 -2  0]
[-4  3  8]
[ 6 -2  0]
[T2] = 
[ 3  0  2]
[ 0  0  2]
[ 1  3 -3]
[T2*T1] = 
[ 27 -10   0]
[ 12  -4   0]
[-25  13  24]
[T1*T2]= 
[ 15   0   6]
[ -4  24 -26]
[ 18   0   8]