2025-06-01

1141: Hermitian Conjugate of Complex Matrix

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definition of Hermitian conjugate of complex matrix

Topics


About: matrices space

The table of contents of this article


Starting Context



Target Context


  • The reader will have a definition of Hermitian conjugate of complex matrix.

Orientation


There is a list of definitions discussed so far in this site.

There is a list of propositions discussed so far in this site.


Main Body


1: Structured Description


Here is the rules of Structured Description.

Entities:
\( M\): \(\in \{\text{ the } m \times n \text{ complex matrices }\}\)
\(*M^*\): \(= \overline{M}^t\), \(\in \{\text{ the } n \times m \text{ complex matrices }\}\)
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Conditions:
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2: Note


Obviously, \(\overline{M}^t = \overline{M^t}\).


References


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