Answered: Consider a system spin-1/2 system,… | bartleby

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Consider a system spin-1/2 system, denoted by A, interacting with another system
spin-1/2 system, denoted by B, such that the state of the combined system is
AB) a++ B|-+).
Find (a) the density matrix PA for system A corresponding to this state and (b) obtain
the formulas for (()).

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Bit confused you say with is the definition of a complex conjugate but all I've ever seen is |X|^2=(X*)(X). Can you provide maybe a reference or proof of this?