LA+Chapter+6+Ex+7(new)-서승완

2070 days ago by math2013

x1,x2,x3,x4,x5=var('x1 x2 x3 x4 x5') SM_T1(x1,x2,x3,x4,x5)=(4*x1-x3, -2*x5+x2, -x3-3*x1, 6*x4+x2, -x5+7*x4) SM_T2(x1,x2,x3,x4,x5)=(3*x1+x3,9*x5-x2, x3-2*x1, 7*x4+3*x2, -2*x5+4*x4) T1=linear_transformation(QQ^5, QQ^5,SM_T1) T2=linear_transformation(QQ^5, QQ^5,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] = 
[ 4  0 -1  0  0]
[ 0  1  0  0 -2]
[-3  0 -1  0  0]
[ 0  1  0  6  0]
[ 0  0  0  7 -1]
[T2] = 
[ 3  0  1  0  0]
[ 0 -1  0  0  9]
[-2  0  1  0  0]
[ 0  3  0  7  0]
[ 0  0  0  4 -2]
[T2*T1] = 
[  9   0  -4   0   0]
[  0  -1   0  63  -7]
[-11   0   1   0   0]
[  0  10   0  42  -6]
[  0   4   0  10   2]
[T1*T2]= 
[14  0  3  0  0]
[ 0 -1  0 -8 13]
[-7  0 -4  0  0]
[ 0 17  0 42  9]
[ 0 21  0 45  2]
[T1] = 
[ 4  0 -1  0  0]
[ 0  1  0  0 -2]
[-3  0 -1  0  0]
[ 0  1  0  6  0]
[ 0  0  0  7 -1]
[T2] = 
[ 3  0  1  0  0]
[ 0 -1  0  0  9]
[-2  0  1  0  0]
[ 0  3  0  7  0]
[ 0  0  0  4 -2]
[T2*T1] = 
[  9   0  -4   0   0]
[  0  -1   0  63  -7]
[-11   0   1   0   0]
[  0  10   0  42  -6]
[  0   4   0  10   2]
[T1*T2]= 
[14  0  3  0  0]
[ 0 -1  0 -8 13]
[-7  0 -4  0  0]
[ 0 17  0 42  9]
[ 0 21  0 45  2]