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

code_begins

var('a')
var('k')
A = matrix([[a,k,k],[k,a,k],[k,k,a]])
print A
print "Is symmetric?", A.is_symmetric() 
print "Is skew_symmetric?", A.is_skew_symmetric() 
print A.transpose()==A.inverse()
if(A.transpose()==A.inverse()):
    print this is orthogonal
else:
    print "this is not orthogonal"

code_ends

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