# Matrix with ConjugateTranspose – Mathematica Stack Exchange

I am trying to calculate the matrix multiplication and then take its conjugate transpose. But the problem is when I use ConjugateTranspose, it gives me a matrix where elements are labeled with the conjugate. Here are the matrices:

And here is what I am trying to calculate:

``````  Subscript[U, 23 ] = {{1, 0, 0, 0}, {0, Subscript[c, 23], Subscript[s,
23], 0}, {0, -Subscript[s, 23], Subscript[c, 23], 0}, {0, 0, 0,
1}}

Subscript[U, 13] = {{Subscript[c, 13], 0,
Exp[-I*Subscript[z, 13]]*Subscript[s, 13], 0}, {0, 1, 0,
0}, {-Exp[I*Subscript[z, 13]]*Subscript[s, 13], 0, Subscript[c,
13], 0}, {0, 0, 0, 1}}

Subscript[U, 12 ] = {{Subscript[c, 12], Subscript[s, 12], 0,
0}, {-Subscript[s, 12], Subscript[c, 12], 0, 0}, {0, 0, 1, 0}, {0,
0, 0, 1}}

Subscript[U, 34 ] = {{1, 0, 0, 0}, {0, 1, 0, 0}, {0, 0, Subscript[c,
34], Exp[-I*Subscript[z, 34]]*Subscript[s, 34]}, {0,
0, -Exp[I*Subscript[z, 34]]*Subscript[s, 34], Subscript[c, 34]}}

Subscript[U, 24 ] = {{1, 0, 0, 0}, {0, Subscript[c, 24], 0, Subscript[
s, 24]}, {0, 0, 1, 0}, {0, -Subscript[s, 24], 0, Subscript[c,
24]}}

Subscript[U, 14 ] = {{Subscript[c, 14], 0, 0,
Exp[-I*Subscript[z, 14]]*Subscript[s, 14]}, {0, 1, 0, 0}, {0, 0, 1,
0}, {-Exp[I*Subscript[z, 14]]*Subscript[s, 14], 0, 0, Subscript[c,
14]}}

MatrixForm[Subscript[U, 34]]
MatrixForm[Subscript[U, 24]]
MatrixForm[Subscript[U, 14]]
MatrixForm[Subscript[U, 23]]
MatrixForm[Subscript[U, 13]]
MatrixForm[Subscript[U, 12]]

mp = Assuming[{Subscript[z, 14], Subscript[z, 34], Subscript[c, 24],
Subscript[c, 34], Subscript[c, 14], Subscript[s, 24], Subscript[s,
34], Subscript[s, 14], Subscript[c, 23], Subscript[c, 12],
Subscript[c, 13], Subscript[s, 23], Subscript[s, 13], Subscript[s,
12], Subscript[z, 13]} [Element] Reals,
Simplify@ConjugateTranspose[
Subscript[U, 34].Subscript[U, 24].Subscript[U, 14].Subscript[U,
23].Subscript[U, 13].Subscript[U, 12]]]
``````

How can I get rid of this Conjugate term?