LA Ch8 Ex23 Solved By 정양헌 Revised by 이반석 Finalized by 정진규+이나을

2031 days ago by math2013

A = matrix(2,2,[1/sqrt(2),1/sqrt(2),1/sqrt(2), -1/sqrt(2)]) print "Matrix A : " print A print A_h = A.conjugate_transpose() print "Matrix A^* : " print A_h print print "Matrix A*A^* : " print A*A_h print 
       
Matrix A : 
[ 1/2*sqrt(2)  1/2*sqrt(2)]
[ 1/2*sqrt(2) -1/2*sqrt(2)]

Matrix A^* : 
[ 1/2*sqrt(2)  1/2*sqrt(2)]
[ 1/2*sqrt(2) -1/2*sqrt(2)]

Matrix A*A^* : 
[1 0]
[0 1]
Matrix A : 
[ 1/2*sqrt(2)  1/2*sqrt(2)]
[ 1/2*sqrt(2) -1/2*sqrt(2)]

Matrix A^* : 
[ 1/2*sqrt(2)  1/2*sqrt(2)]
[ 1/2*sqrt(2) -1/2*sqrt(2)]

Matrix A*A^* : 
[1 0]
[0 1]
B = matrix(3,3,[0,i,1,i,0,2+i,-1,-2+i,0]) print "Matrix B : " print B print B_h = B.conjugate_transpose() print "Matrix B^* : " print B_h print print "Matrix B*B^* : " print B*B_h 
       
Matrix B : 
[    0     I     1]
[    I     0 I + 2]
[   -1 I - 2     0]

Matrix B^* : 
[     0     -I     -1]
[    -I      0 -I - 2]
[     1 -I + 2      0]

Matrix B*B^* : 
[       2   -I + 2 -2*I + 1]
[   I + 2        6       -I]
[ 2*I + 1        I        6]
Matrix B : 
[    0     I     1]
[    I     0 I + 2]
[   -1 I - 2     0]

Matrix B^* : 
[     0     -I     -1]
[    -I      0 -I - 2]
[     1 -I + 2      0]

Matrix B*B^* : 
[       2   -I + 2 -2*I + 1]
[   I + 2        6       -I]
[ 2*I + 1        I        6]