Conjugate transpose: Difference between revisions

Revision as of 07:31, 20 January 2025

Revision as of 12:05, 14 February 2025

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==Basic remarks==

AFor a square matrix <math>\mathbf{A}</math> with entries <math>a_{ij}</math>, the isfollowing calledholds.

* [[hermitian matrix|Hermitian]] or [[self-adjoint_operator|self-adjoint]] if <math>\mathbf{A}=\mathbf{A}^\mathrm{H}</math>; i.e., <math>a_{ij} = \overline{a_{ji}}</math>.

* [[skew-Hermitian matrix|Skew Hermitian]] or antihermitian if <math>\mathbf{A}=-\mathbf{A}^\mathrm{H}</math>; i.e., <math>a_{ij} = -\overline{a_{ji}}</math>.