The Dagger command returns the Hermitian conjugate, also called adjoint, of its argument, so, for example, if A is a square matrix, then Dagger(A) computes the complex conjugate of the transpose of .

The %Dagger command is the inert form of Dagger; that is, it represents the same mathematical operation while displaying the operation unevaluated. To evaluate the operation, use the value command.

The result returned by Dagger is built as follows:

- If  is Hermitian, then return .

- If  is already the Dagger of , then return .

- If  is a (commutative) constant or a Bracket, then return the conjugate of

- If  is a Bra or a Ket, then return the dual; that is, the corresponding Ket or Bra, respectively.

- If  is an Annihilation or a Creation operator, then return the corresponding Creation or Annihilation, respectively.

- If  is a Matrix, then return the conjugate of the transpose of .

- If  is a sum of terms, then return the sum of the Dagger of each term.

- If  is a (noncommutative) product, then return the product of the Dagger of each factor, after reversing their order in the product.

- If  is linear operator such as diff, d_, or dAlembertian, then return the linear operator applied to the Dagger of the first operand of .

- If  is an object of the Physics package, such as Inverse, Trace, Dgamma, or KroneckerDelta, then return according to the properties of this object.

- Otherwise, return the operation unevaluated, Dagger(A).