ConjugateTranspose
or gives the conjugate transpose of
.
Details and Options

- 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]].
Examples
open allclose allScope (2)
Conjugate transpose a sparse array:
The conjugate transpose is sparse:
ConjugateTranspose works for symbolic matrices:
ComplexExpand assumes all variables are real:
Generalizations & Extensions (1)
ConjugateTranspose works similarly to Transpose for tensors:
Applications (1)
Find the QRDecomposition of :
Properties & Relations (2)
ConjugateTranspose[m] is equivalent to Conjugate[Transpose[m]]:
The product of a matrix and its conjugate transpose is Hermitian:
Text
Wolfram Research (2004), ConjugateTranspose, Wolfram Language function, https://reference.wolfram.com/language/ref/ConjugateTranspose.html.
BibTeX
BibLaTeX
CMS
Wolfram Language. 2004. "ConjugateTranspose." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/ConjugateTranspose.html.
APA
Wolfram Language. (2004). ConjugateTranspose. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/ConjugateTranspose.html