I have a problem to make the conjugate and transpose the matrix.May anyone help me please.
MatrixForm[{{E^(I*β1 + I*β3) Cos[β2],
E^(I β1 -
I*β3) Sin[β2]}, {(-E^((-I) β1 +
I*β3)) Sin[β2],
E^((-I) β1 - I*β3)*Cos[β2]}}]
and I get the output
{{E^((-I)*Conjugate[β1] - I*Conjugate[β3])*
Conjugate[Cos[β2]],
-(E^(I*Conjugate[β1] - I*Conjugate[β3])*
Conjugate[Sin[β2]])},
{E^((-I)*Conjugate[β1] + I*Conjugate[β3])*
Conjugate[Sin[β2]],
E^(I*Conjugate[β1] + I*Conjugate[β3])*
Conjugate[Cos[β2]]}}
my problem here, I just want to conjugate the imaginary part but it conjugate all include the angle Cos and Sin (real). How can I solve this.
Thank you