x,y,z=var('x y z')
T1(x,y,z)=(5*x,-3*x+2*y,-x+4*y)
T2(x,y,z)=(x+6*y,-2*z,x-z)
Standard_T1=linear_transformation(QQ^3, QQ^3,T1)
Standard_T2=linear_transformation(QQ^3, QQ^3,T2)
print "[T1]="
print Standard_T1.matrix(side='right')
print "[T2]="
print Standard_T2.matrix(side='right')
print "[T2*T1]="
print Standard_T2.matrix(side='right')*Standard_T1.matrix(side='right')
print "[T1*T2]="
print Standard_T1.matrix(side='right')*Standard_T2.matrix(side='right')
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[T1]=
[ 5 0 0]
[-3 2 0]
[-1 4 0]
[T2]=
[ 1 6 0]
[ 0 0 -2]
[ 1 0 -1]
[T2*T1]=
[-13 12 0]
[ 2 -8 0]
[ 6 -4 0]
[T1*T2]=
[ 5 30 0]
[ -3 -18 -4]
[ -1 -6 -8]
[T1]=
[ 5 0 0]
[-3 2 0]
[-1 4 0]
[T2]=
[ 1 6 0]
[ 0 0 -2]
[ 1 0 -1]
[T2*T1]=
[-13 12 0]
[ 2 -8 0]
[ 6 -4 0]
[T1*T2]=
[ 5 30 0]
[ -3 -18 -4]
[ -1 -6 -8]
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