Conjugate transpose

In mathematics, the conjugate transpose, also known as the Hermitian transpose, of an complex matrix is an matrix obtained by transposing and applying complex conjugation to each entry (the complex conjugate of being , for real numbers and ). There are several notations, such as or ,[1] ,[2] or (often in physics) .

For real matrices, the conjugate transpose is just the transpose, .

  1. ^ Weisstein, Eric W. "Conjugate Transpose". mathworld.wolfram.com. Retrieved 2020-09-08.
  2. ^ H. W. Turnbull, A. C. Aitken, "An Introduction to the Theory of Canonical Matrices," 1932.