Conjugate[z] or z\[Conjugate] gives the complex conjugate of the complex number z. ConjugateTranspose [ m] is equivalent to Conjugate [ Transpose [ m]]. ». can be entered as ct or \ [ConjugateTranspose]. ConjugateTranspose [ m] can also be given as , where can be entered as hc or \ [HermitianConjugate]. ConjugateTranspose [ m, spec] gives Conjugate [ Transpose [ m, spec]]. Thanks for contributing an answer to Mathematics Stack Exchange! Please be sure to answer the question.Provide details and share your research! But avoid …. Asking for help, clarification, or responding to other answers. The conjugate transpose is also known as the adjoint matrix, adjugate matrix, Hermitian adjoint, or Hermitian transpose (Strang 1988, p. 221). Unfortunately, several different notations are in use as summarized in the following table. While the notation is universally used in quantum field theory, is commonly used in linear algebra. Mathematica Stack Exchange is a question and answer site for users of Wolfram Mathematica. It only takes a minute to sign up. Sign up to join this community . Anybody can ask a question Anybody can answer The best answers are voted up and rise to the top Home Questions Tags Users Unanswered How to make the conjugate transpose. Ask Question Asked 4 years, 6 months ago. Active 4 years, 6 months A unitary matrix is a matrix whose inverse equals it conjugate transpose. Unitary matrices are the complex analog of real orthogonal matrices. If U is a square, complex matrix, then the following conditions are equivalent : U is unitary. The conjugate transpose U* of U is unitary. U is invertible and U − 1 = U*. I know that covariance matrix transpose is equal to the matrix itself, but does the same hold for conjugate transpose in case of invertible covariance matrix? linear-algebra covariance. Share. Cite. Improve this question. Follow edited Sep 27 '16 at 14:44. empty bucket. 46 7 7 bronze badges. asked Sep 27 '16 at 12:21. Userhanu Userhanu. 483 3 3 silver badges 10 10 bronze badges $\endgroup Conjugate Transpose Matrix. SEE: Conjugate Transpose. Wolfram Web Resources. Mathematica » The #1 tool for creating Demonstrations and anything technical. Wolfram|Alpha » Explore anything with the first computational knowledge engine. Wolfram Demonstrations Project » Explore thousands of free applications across science, mathematics, engineering, technology, business, art, finance, social Mathematica Stack Exchange is a question and answer site for users of Wolfram Mathematica. It only takes a minute to sign up. Sign up to join this community . Anybody can ask a question Anybody can answer The best answers are voted up and rise to the top Home Questions Tags Users Unanswered How to make conjugate transpose of this matrix? Ask Question Asked 2 months ago. Active 2 months ago A square complex matrix whose transpose is equal to the matrix with every entry replaced by its complex conjugate (denoted here with an overline) is called a self-adjoint matrix or a Hermitian matrix (equivalent to the matrix being equal to its conjugate transpose); that is, A is self-adjoint or Hermitian if \( {\bf A} = {\bf A}^{\ast} .
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