Dec 23, 2019 · The conjugate transpose arises from the standard Hermitian inner product and the usual transpose arises from the standard complex bilinear form. I’ll make that into a detailed …

Jan 25, 2020 · Theorem 66 of [1] proves that a square matrix (over an arbitrary field) is conjugate to its transpose via a symmetric matrix. [1] Kaplansky, Irving Linear algebra and geometry.

Commutativity of matrix and its transpose Ask Question Asked 9 years, 3 months ago Modified 1 year, 2 months ago

Jan 9, 2020 · 4 First, the adjoint is defined as a conjugate transpose for complex operators, but this reduces to a pure transpose in the real case. Also, the transpose is only defined for finite …

Jul 24, 2014 · Definition/Summary The Hermitian transpose or Hermitian conjugate (or conjugate transpose) M^ {\dagger} of a matrix M is the complex conjugate of its transpose M^T. A matrix …

Jan 25, 2024 · Transpose of inverse vs inverse of transpose Ask Question Asked 12 years, 7 months ago Modified 1 year, 9 months ago

Jun 18, 2018 · 11 This question already has an answer here: Property of the conjugate transpose matrix with inner product (1 answer)

Note that reversing the basis order (conjugating by the matrix with ones from bottom left to top right and zeros elsewhere) takes a Jordan block to its transpose, e.g.

Eigenvalues and determinant of conjugate, transpose and hermitian of a complex matrix. Ask Question Asked 13 years ago Modified 11 years, 8 months ago

May 15, 2023 · Bug introduced in 12.3 or earlier, fixed in 13.0. I'm getting contradictory behavior for eigenvectors of a matrix when using Conjugate, Transpose and ConjugateTranspose. I'll …