Kreyszig-7.3-1

• Book	Advanced Engineering Mathematics
  Author	Erwin Kreyszig
  Edition	8th Edition

code_begins ((( A = matrix(-3,1,5],[1,0,-2],[5,-2,4) print A

• print A.transpose()

print "Is symmetric?", A.is_symmetric() print "Is skew_symmetric?", A.is_skew_symmetric() if ( A.is_invertible()==true):

• if(A.transpose()==A.inverse()):
  • print "matrix is orthogonal"
  else:
  • print "matrix is not orthogonal"

else:

• print"matrix is not orhtogonal"

B = matrix (0,9,-12],[-9,0,20],[12,-20,0) print B

print B.transpose() print "Is symmetric?",B.is_symmetric() print "Is skew_symmetric?", B.is_skew_symmetric()

if ( B.is_invertible()==true):

• if(B.transpose()==B.inverse()):
  • print "matrix is orthogonal"
  else:
  • print "matrix is not orthogonal"

else:

• print"matrix is not orhtogonal"

C = matrix (2/3,1/3,2/3],[-2/3,2/3,1/3],[1/3,2/3,-2/3) print C

print C.transpose() print "Is symmetric?",C.is_symmetric() print "Is skew_symmetric?", C.is_skew_symmetric() if ( C.is_invertible()==true):

• if(C.transpose()==C.inverse()):
  • print "matrix is orthogonal"
  else:
  • print "matrix is not orthogonal"

else:

• print"matrix is not orhtogonal" )))

code_ends

• Solution by:

  • srinivas vinay, student, vardhaman college of engineering

  • <Your Name>, <Profession>, <Organization>