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mat = matrix([[0,1],[1,0]]) #creates a pauli matrix
u = exp(i*mat)# creates an unitary matrix
print ((u.H)*u).n() # u\

$U^\dagger U$ does not return the identity. why?

mat = matrix([[0,1],[1,0]]) #creates a pauli matrix
u = exp(i*mat)# creates an unitary matrix
print ((u.H)*u).n() # u\

$U^\dagger U$ does not return the identity. why?

mat = matrix([[0,1],[1,0]]) #creates a pauli matrix
u = exp(i*mat)# creates an unitary matrix
print ((u.H)*u).n() # u\
u*u evaluated numerically

$U^\dagger U$ does not return the identity. why?

sage output-
[4.44305526025399e6 4.44305526025388e6]
[4.44305526025388e6 4.44305526025399e6]